src/HOL/BNF/Tools/bnf_fp_def_sugar.ML
author blanchet
Mon, 27 May 2013 15:13:34 +0200
changeset 52173 ec337c3438a7
parent 52172 1b3f907caf61
child 52195 056ec8201667
permissions -rw-r--r--
tuning
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
49636
b7256a88a84b renamed ML file in preparation for next step
blanchet
parents: 49633
diff changeset
     1
(*  Title:      HOL/BNF/Tools/bnf_fp_def_sugar.ML
49112
4de4635d8f93 started work on sugared "(co)data" commands
blanchet
parents:
diff changeset
     2
    Author:     Jasmin Blanchette, TU Muenchen
4de4635d8f93 started work on sugared "(co)data" commands
blanchet
parents:
diff changeset
     3
    Copyright   2012
4de4635d8f93 started work on sugared "(co)data" commands
blanchet
parents:
diff changeset
     4
49389
blanchet
parents: 49381
diff changeset
     5
Sugared datatype and codatatype constructions.
49112
4de4635d8f93 started work on sugared "(co)data" commands
blanchet
parents:
diff changeset
     6
*)
4de4635d8f93 started work on sugared "(co)data" commands
blanchet
parents:
diff changeset
     7
49636
b7256a88a84b renamed ML file in preparation for next step
blanchet
parents: 49633
diff changeset
     8
signature BNF_FP_DEF_SUGAR =
49112
4de4635d8f93 started work on sugared "(co)data" commands
blanchet
parents:
diff changeset
     9
sig
51840
b304fb6c5ef5 renamed records
blanchet
parents: 51839
diff changeset
    10
  type fp_sugar =
51859
09d24ea3f140 rationalized data structure
blanchet
parents: 51858
diff changeset
    11
    {T: typ,
09d24ea3f140 rationalized data structure
blanchet
parents: 51858
diff changeset
    12
     lfp: bool,
51838
1999b2e0b157 added pre-BNFs to database
blanchet
parents: 51837
diff changeset
    13
     index: int,
1999b2e0b157 added pre-BNFs to database
blanchet
parents: 51837
diff changeset
    14
     pre_bnfs: BNF_Def.bnf list,
51850
106afdf5806c renamed a few FP-related files, to make it clear that these are not the sum of LFP + GFP but rather shared basic libraries
blanchet
parents: 51847
diff changeset
    15
     fp_res: BNF_FP_Util.fp_result,
51906
38dcb3a6dfcc added field to record
blanchet
parents: 51905
diff changeset
    16
     ctr_defss: thm list list,
51842
cc0a3185406c added fields to database
blanchet
parents: 51841
diff changeset
    17
     ctr_sugars: BNF_Ctr_Sugar.ctr_sugar list,
51857
17e7f00563fb tuned names -- co_ and un_ with underscore are to be understood as (co) and (un)
blanchet
parents: 51856
diff changeset
    18
     un_folds: term list,
17e7f00563fb tuned names -- co_ and un_ with underscore are to be understood as (co) and (un)
blanchet
parents: 51856
diff changeset
    19
     co_recs: term list,
51864
9761deff11bc store (co)induction rules in data structure
blanchet
parents: 51863
diff changeset
    20
     co_induct: thm,
9761deff11bc store (co)induction rules in data structure
blanchet
parents: 51863
diff changeset
    21
     strong_co_induct: thm,
51857
17e7f00563fb tuned names -- co_ and un_ with underscore are to be understood as (co) and (un)
blanchet
parents: 51856
diff changeset
    22
     un_fold_thmss: thm list list,
17e7f00563fb tuned names -- co_ and un_ with underscore are to be understood as (co) and (un)
blanchet
parents: 51856
diff changeset
    23
     co_rec_thmss: thm list list};
51823
38996458bc5c create data structure for storing (co)datatype information
blanchet
parents: 51819
diff changeset
    24
51896
1cf1fe22145d export one more function + tuning
blanchet
parents: 51892
diff changeset
    25
  val morph_fp_sugar: morphism -> fp_sugar -> fp_sugar
1cf1fe22145d export one more function + tuning
blanchet
parents: 51892
diff changeset
    26
  val fp_sugar_of: Proof.context -> string -> fp_sugar option
51852
23d938495367 refactoring
blanchet
parents: 51850
diff changeset
    27
51911
6c425d450a8c more robust iterator construction (needed for mutualized FPs)
blanchet
parents: 51910
diff changeset
    28
  val tvar_subst: theory -> typ list -> typ list -> ((string * int) * typ) list
51860
75655198442e export one more function
blanchet
parents: 51859
diff changeset
    29
  val exists_subtype_in: typ list -> typ -> bool
51907
882d850aa3ca export one more function
blanchet
parents: 51906
diff changeset
    30
  val nesty_bnfs: Proof.context -> typ list list list -> typ list -> BNF_Def.bnf list
51855
fcdf213d332c more code rationalization
blanchet
parents: 51854
diff changeset
    31
  val indexify_fst: ''a list -> (int -> ''a * 'b -> 'c) -> ''a * 'b -> 'c
51912
a6b963bc46f0 removed dead argument
blanchet
parents: 51911
diff changeset
    32
  val mk_un_fold_co_rec_prelims: bool -> typ list -> typ list -> int list -> int list list ->
a6b963bc46f0 removed dead argument
blanchet
parents: 51911
diff changeset
    33
    term list -> term list -> Proof.context ->
51903
126f8d11f873 move function to library
blanchet
parents: 51902
diff changeset
    34
    (term list * term list * ((term list list * typ list list * term list list list)
126f8d11f873 move function to library
blanchet
parents: 51902
diff changeset
    35
       * (term list list * typ list list * term list list list)) option
126f8d11f873 move function to library
blanchet
parents: 51902
diff changeset
    36
     * (term list * term list list
126f8d11f873 move function to library
blanchet
parents: 51902
diff changeset
    37
        * ((term list list * term list list list list * term list list list list)
126f8d11f873 move function to library
blanchet
parents: 51902
diff changeset
    38
           * (typ list * typ list list list * typ list list))
126f8d11f873 move function to library
blanchet
parents: 51902
diff changeset
    39
        * ((term list list * term list list list list * term list list list list)
126f8d11f873 move function to library
blanchet
parents: 51902
diff changeset
    40
           * (typ list * typ list list list * typ list list))) option)
126f8d11f873 move function to library
blanchet
parents: 51902
diff changeset
    41
    * Proof.context
51855
fcdf213d332c more code rationalization
blanchet
parents: 51854
diff changeset
    42
  val build_map: local_theory -> (typ * typ -> term) -> typ * typ -> term
51823
38996458bc5c create data structure for storing (co)datatype information
blanchet
parents: 51819
diff changeset
    43
51885
cc60613a1528 rationalize ML signature
blanchet
parents: 51884
diff changeset
    44
  val mk_iter_fun_arg_types_pairsss: typ list -> int list -> int list list -> term ->
cc60613a1528 rationalize ML signature
blanchet
parents: 51884
diff changeset
    45
    (typ list * typ list) list list list
51902
blanchet
parents: 51900
diff changeset
    46
  val define_fold_rec: (term list list * typ list list * term list list list)
blanchet
parents: 51900
diff changeset
    47
      * (term list list * typ list list * term list list list) -> (string -> binding) -> typ list ->
52172
1b3f907caf61 killed dead argument
blanchet
parents: 52171
diff changeset
    48
    typ list -> term -> term -> Proof.context -> (term * term * thm * thm) * Proof.context
51902
blanchet
parents: 51900
diff changeset
    49
  val define_unfold_corec: term list * term list list
blanchet
parents: 51900
diff changeset
    50
      * ((term list list * term list list list list * term list list list list)
blanchet
parents: 51900
diff changeset
    51
         * (typ list * typ list list list * typ list list))
blanchet
parents: 51900
diff changeset
    52
      * ((term list list * term list list list list * term list list list list)
blanchet
parents: 51900
diff changeset
    53
         * (typ list * typ list list list * typ list list)) ->
52172
1b3f907caf61 killed dead argument
blanchet
parents: 52171
diff changeset
    54
    (string -> binding) -> typ list -> typ list -> term -> term -> Proof.context ->
51902
blanchet
parents: 51900
diff changeset
    55
    (term * term * thm * thm) * Proof.context
51837
087498724486 lowercase type constructor, for consistency (cf. fp_result not FP_result nor FP_Result)
blanchet
parents: 51835
diff changeset
    56
  val derive_induct_fold_rec_thms_for_types: BNF_Def.bnf list -> term list -> term list -> thm ->
087498724486 lowercase type constructor, for consistency (cf. fp_result not FP_result nor FP_Result)
blanchet
parents: 51835
diff changeset
    57
    thm list -> thm list -> BNF_Def.bnf list -> BNF_Def.bnf list -> typ list -> typ list ->
51912
a6b963bc46f0 removed dead argument
blanchet
parents: 51911
diff changeset
    58
    term list list -> thm list list -> term list -> term list -> thm list -> thm list ->
51852
23d938495367 refactoring
blanchet
parents: 51850
diff changeset
    59
    local_theory ->
51811
1461426e2bf1 tuned function signatures
blanchet
parents: 51810
diff changeset
    60
    (thm * thm list * Args.src list) * (thm list list * Args.src list)
51827
836257faaad5 tuned signature
blanchet
parents: 51824
diff changeset
    61
    * (thm list list * Args.src list)
51837
087498724486 lowercase type constructor, for consistency (cf. fp_result not FP_result nor FP_Result)
blanchet
parents: 51835
diff changeset
    62
  val derive_coinduct_unfold_corec_thms_for_types: BNF_Def.bnf list -> term list -> term list ->
087498724486 lowercase type constructor, for consistency (cf. fp_result not FP_result nor FP_Result)
blanchet
parents: 51835
diff changeset
    63
    thm -> thm -> thm list -> thm list -> thm list -> BNF_Def.bnf list -> BNF_Def.bnf list ->
51829
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
    64
    typ list -> typ list -> typ list -> int list list -> int list list -> int list ->
51840
b304fb6c5ef5 renamed records
blanchet
parents: 51839
diff changeset
    65
    thm list list -> BNF_Ctr_Sugar.ctr_sugar list -> term list -> term list -> thm list ->
51852
23d938495367 refactoring
blanchet
parents: 51850
diff changeset
    66
    thm list -> local_theory ->
51839
5c552de1d8d1 added constructors to data structure
blanchet
parents: 51838
diff changeset
    67
    (thm * thm list * thm * thm list * Args.src list)
5c552de1d8d1 added constructors to data structure
blanchet
parents: 51838
diff changeset
    68
    * (thm list list * thm list list * Args.src list)
51811
1461426e2bf1 tuned function signatures
blanchet
parents: 51810
diff changeset
    69
    * (thm list list * thm list list) * (thm list list * thm list list * Args.src list)
51824
27d073b0876c register all (co)datatypes in local data
blanchet
parents: 51823
diff changeset
    70
    * (thm list list * thm list list * Args.src list)
27d073b0876c register all (co)datatypes in local data
blanchet
parents: 51823
diff changeset
    71
    * (thm list list * thm list list * Args.src list)
51823
38996458bc5c create data structure for storing (co)datatype information
blanchet
parents: 51819
diff changeset
    72
51867
6d756057e736 signature tuning
blanchet
parents: 51866
diff changeset
    73
  val co_datatypes: bool -> (mixfix list -> binding list -> binding list -> binding list list ->
6d756057e736 signature tuning
blanchet
parents: 51866
diff changeset
    74
      binding list -> (string * sort) list -> typ list * typ list list -> BNF_Def.bnf list ->
51866
142a82883831 removed dead code
blanchet
parents: 51865
diff changeset
    75
      local_theory -> BNF_FP_Util.fp_result * local_theory) ->
51767
bbcdd8519253 honor user-specified name for relator + generalize syntax
blanchet
parents: 51766
diff changeset
    76
    (bool * bool) * (((((binding * (typ * sort)) list * binding) * (binding * binding)) * mixfix) *
51758
55963309557b honor user-specified name for map function
blanchet
parents: 51757
diff changeset
    77
      ((((binding * binding) * (binding * typ) list) * (binding * term) list) *
55963309557b honor user-specified name for map function
blanchet
parents: 51757
diff changeset
    78
        mixfix) list) list ->
49297
47fbf2e3e89c provide a programmatic interface for FP sugar
blanchet
parents: 49287
diff changeset
    79
    local_theory -> local_theory
51867
6d756057e736 signature tuning
blanchet
parents: 51866
diff changeset
    80
  val parse_co_datatype_cmd: bool -> (mixfix list -> binding list -> binding list ->
6d756057e736 signature tuning
blanchet
parents: 51866
diff changeset
    81
      binding list list -> binding list -> (string * sort) list -> typ list * typ list list ->
6d756057e736 signature tuning
blanchet
parents: 51866
diff changeset
    82
      BNF_Def.bnf list -> local_theory -> BNF_FP_Util.fp_result * local_theory) ->
49308
6190b701e4f4 reorganized dependencies so that the sugar does not depend on GFP -- this will be essential for bootstrapping
blanchet
parents: 49302
diff changeset
    83
    (local_theory -> local_theory) parser
49112
4de4635d8f93 started work on sugared "(co)data" commands
blanchet
parents:
diff changeset
    84
end;
4de4635d8f93 started work on sugared "(co)data" commands
blanchet
parents:
diff changeset
    85
49636
b7256a88a84b renamed ML file in preparation for next step
blanchet
parents: 49633
diff changeset
    86
structure BNF_FP_Def_Sugar : BNF_FP_DEF_SUGAR =
49112
4de4635d8f93 started work on sugared "(co)data" commands
blanchet
parents:
diff changeset
    87
struct
4de4635d8f93 started work on sugared "(co)data" commands
blanchet
parents:
diff changeset
    88
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
    89
open BNF_Util
51797
182454c06a80 tuned ML and thy file names
blanchet
parents: 51795
diff changeset
    90
open BNF_Ctr_Sugar
49214
2a3cb4c71b87 construct the right iterator theorem in the recursive case
blanchet
parents: 49213
diff changeset
    91
open BNF_Def
51850
106afdf5806c renamed a few FP-related files, to make it clear that these are not the sum of LFP + GFP but rather shared basic libraries
blanchet
parents: 51847
diff changeset
    92
open BNF_FP_Util
49636
b7256a88a84b renamed ML file in preparation for next step
blanchet
parents: 49633
diff changeset
    93
open BNF_FP_Def_Sugar_Tactics
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
    94
51788
5fe72280a49f put an underscore in prefix
blanchet
parents: 51787
diff changeset
    95
val EqN = "Eq_";
51777
48a0ae342ea0 generate proper attributes for coinduction rules
blanchet
parents: 51769
diff changeset
    96
51840
b304fb6c5ef5 renamed records
blanchet
parents: 51839
diff changeset
    97
type fp_sugar =
51859
09d24ea3f140 rationalized data structure
blanchet
parents: 51858
diff changeset
    98
  {T: typ,
09d24ea3f140 rationalized data structure
blanchet
parents: 51858
diff changeset
    99
   lfp: bool,
51838
1999b2e0b157 added pre-BNFs to database
blanchet
parents: 51837
diff changeset
   100
   index: int,
1999b2e0b157 added pre-BNFs to database
blanchet
parents: 51837
diff changeset
   101
   pre_bnfs: bnf list,
51823
38996458bc5c create data structure for storing (co)datatype information
blanchet
parents: 51819
diff changeset
   102
   fp_res: fp_result,
51906
38dcb3a6dfcc added field to record
blanchet
parents: 51905
diff changeset
   103
   ctr_defss: thm list list,
51842
cc0a3185406c added fields to database
blanchet
parents: 51841
diff changeset
   104
   ctr_sugars: ctr_sugar list,
51857
17e7f00563fb tuned names -- co_ and un_ with underscore are to be understood as (co) and (un)
blanchet
parents: 51856
diff changeset
   105
   un_folds: term list,
17e7f00563fb tuned names -- co_ and un_ with underscore are to be understood as (co) and (un)
blanchet
parents: 51856
diff changeset
   106
   co_recs: term list,
51864
9761deff11bc store (co)induction rules in data structure
blanchet
parents: 51863
diff changeset
   107
   co_induct: thm,
9761deff11bc store (co)induction rules in data structure
blanchet
parents: 51863
diff changeset
   108
   strong_co_induct: thm,
51857
17e7f00563fb tuned names -- co_ and un_ with underscore are to be understood as (co) and (un)
blanchet
parents: 51856
diff changeset
   109
   un_fold_thmss: thm list list,
17e7f00563fb tuned names -- co_ and un_ with underscore are to be understood as (co) and (un)
blanchet
parents: 51856
diff changeset
   110
   co_rec_thmss: thm list list};
51823
38996458bc5c create data structure for storing (co)datatype information
blanchet
parents: 51819
diff changeset
   111
51859
09d24ea3f140 rationalized data structure
blanchet
parents: 51858
diff changeset
   112
fun eq_fp_sugar ({T = T1, lfp = lfp1, index = index1, fp_res = fp_res1, ...} : fp_sugar,
09d24ea3f140 rationalized data structure
blanchet
parents: 51858
diff changeset
   113
    {T = T2, lfp = lfp2, index = index2, fp_res = fp_res2, ...} : fp_sugar) =
09d24ea3f140 rationalized data structure
blanchet
parents: 51858
diff changeset
   114
  T1 = T2 andalso lfp1 = lfp2 andalso index1 = index2 andalso eq_fp_result (fp_res1, fp_res2);
51823
38996458bc5c create data structure for storing (co)datatype information
blanchet
parents: 51819
diff changeset
   115
51906
38dcb3a6dfcc added field to record
blanchet
parents: 51905
diff changeset
   116
fun morph_fp_sugar phi {T, lfp, index, pre_bnfs, fp_res, ctr_defss, ctr_sugars, un_folds, co_recs,
38dcb3a6dfcc added field to record
blanchet
parents: 51905
diff changeset
   117
    co_induct, strong_co_induct, un_fold_thmss, co_rec_thmss} =
51859
09d24ea3f140 rationalized data structure
blanchet
parents: 51858
diff changeset
   118
  {T = Morphism.typ phi T, lfp = lfp, index = index, pre_bnfs = map (morph_bnf phi) pre_bnfs,
51906
38dcb3a6dfcc added field to record
blanchet
parents: 51905
diff changeset
   119
   fp_res = morph_fp_result phi fp_res, ctr_defss = map (map (Morphism.thm phi)) ctr_defss,
38dcb3a6dfcc added field to record
blanchet
parents: 51905
diff changeset
   120
   ctr_sugars = map (morph_ctr_sugar phi) ctr_sugars, un_folds = map (Morphism.term phi) un_folds,
38dcb3a6dfcc added field to record
blanchet
parents: 51905
diff changeset
   121
   co_recs = map (Morphism.term phi) co_recs, co_induct = Morphism.thm phi co_induct,
38dcb3a6dfcc added field to record
blanchet
parents: 51905
diff changeset
   122
   strong_co_induct = Morphism.thm phi strong_co_induct,
51857
17e7f00563fb tuned names -- co_ and un_ with underscore are to be understood as (co) and (un)
blanchet
parents: 51856
diff changeset
   123
   un_fold_thmss = map (map (Morphism.thm phi)) un_fold_thmss,
17e7f00563fb tuned names -- co_ and un_ with underscore are to be understood as (co) and (un)
blanchet
parents: 51856
diff changeset
   124
   co_rec_thmss = map (map (Morphism.thm phi)) co_rec_thmss};
51823
38996458bc5c create data structure for storing (co)datatype information
blanchet
parents: 51819
diff changeset
   125
38996458bc5c create data structure for storing (co)datatype information
blanchet
parents: 51819
diff changeset
   126
structure Data = Generic_Data
38996458bc5c create data structure for storing (co)datatype information
blanchet
parents: 51819
diff changeset
   127
(
51840
b304fb6c5ef5 renamed records
blanchet
parents: 51839
diff changeset
   128
  type T = fp_sugar Symtab.table;
51823
38996458bc5c create data structure for storing (co)datatype information
blanchet
parents: 51819
diff changeset
   129
  val empty = Symtab.empty;
38996458bc5c create data structure for storing (co)datatype information
blanchet
parents: 51819
diff changeset
   130
  val extend = I;
51840
b304fb6c5ef5 renamed records
blanchet
parents: 51839
diff changeset
   131
  val merge = Symtab.merge eq_fp_sugar;
51823
38996458bc5c create data structure for storing (co)datatype information
blanchet
parents: 51819
diff changeset
   132
);
38996458bc5c create data structure for storing (co)datatype information
blanchet
parents: 51819
diff changeset
   133
51840
b304fb6c5ef5 renamed records
blanchet
parents: 51839
diff changeset
   134
val fp_sugar_of = Symtab.lookup o Data.get o Context.Proof;
51823
38996458bc5c create data structure for storing (co)datatype information
blanchet
parents: 51819
diff changeset
   135
51840
b304fb6c5ef5 renamed records
blanchet
parents: 51839
diff changeset
   136
fun register_fp_sugar key fp_sugar =
51823
38996458bc5c create data structure for storing (co)datatype information
blanchet
parents: 51819
diff changeset
   137
  Local_Theory.declaration {syntax = false, pervasive = true}
51840
b304fb6c5ef5 renamed records
blanchet
parents: 51839
diff changeset
   138
    (fn phi => Data.map (Symtab.update_new (key, morph_fp_sugar phi fp_sugar)));
51823
38996458bc5c create data structure for storing (co)datatype information
blanchet
parents: 51819
diff changeset
   139
51906
38dcb3a6dfcc added field to record
blanchet
parents: 51905
diff changeset
   140
fun register_fp_sugars lfp pre_bnfs (fp_res as {Ts, ...}) ctr_defss ctr_sugars un_folds co_recs
38dcb3a6dfcc added field to record
blanchet
parents: 51905
diff changeset
   141
    co_induct strong_co_induct un_fold_thmss co_rec_thmss lthy =
51844
blanchet
parents: 51843
diff changeset
   142
  (0, lthy)
51859
09d24ea3f140 rationalized data structure
blanchet
parents: 51858
diff changeset
   143
  |> fold (fn T as Type (s, _) => fn (kk, lthy) => (kk + 1,
09d24ea3f140 rationalized data structure
blanchet
parents: 51858
diff changeset
   144
    register_fp_sugar s {T = T, lfp = lfp, index = kk, pre_bnfs = pre_bnfs, fp_res = fp_res,
51906
38dcb3a6dfcc added field to record
blanchet
parents: 51905
diff changeset
   145
      ctr_defss = ctr_defss, ctr_sugars = ctr_sugars, un_folds = un_folds, co_recs = co_recs,
38dcb3a6dfcc added field to record
blanchet
parents: 51905
diff changeset
   146
      co_induct = co_induct, strong_co_induct = strong_co_induct, un_fold_thmss = un_fold_thmss,
51864
9761deff11bc store (co)induction rules in data structure
blanchet
parents: 51863
diff changeset
   147
      co_rec_thmss = co_rec_thmss} lthy)) Ts
51824
27d073b0876c register all (co)datatypes in local data
blanchet
parents: 51823
diff changeset
   148
  |> snd;
27d073b0876c register all (co)datatypes in local data
blanchet
parents: 51823
diff changeset
   149
51777
48a0ae342ea0 generate proper attributes for coinduction rules
blanchet
parents: 51769
diff changeset
   150
(* This function could produce clashes in contrived examples (e.g., "x.A", "x.x_A", "y.A"). *)
49622
a93f976c3307 use a nicer scheme to indexify names
blanchet
parents: 49605
diff changeset
   151
fun quasi_unambiguous_case_names names =
a93f976c3307 use a nicer scheme to indexify names
blanchet
parents: 49605
diff changeset
   152
  let
a93f976c3307 use a nicer scheme to indexify names
blanchet
parents: 49605
diff changeset
   153
    val ps = map (`Long_Name.base_name) names;
a93f976c3307 use a nicer scheme to indexify names
blanchet
parents: 49605
diff changeset
   154
    val dups = Library.duplicates (op =) (map fst ps);
a93f976c3307 use a nicer scheme to indexify names
blanchet
parents: 49605
diff changeset
   155
    fun underscore s =
a93f976c3307 use a nicer scheme to indexify names
blanchet
parents: 49605
diff changeset
   156
      let val ss = space_explode Long_Name.separator s in
a93f976c3307 use a nicer scheme to indexify names
blanchet
parents: 49605
diff changeset
   157
        space_implode "_" (drop (length ss - 2) ss)
a93f976c3307 use a nicer scheme to indexify names
blanchet
parents: 49605
diff changeset
   158
      end;
a93f976c3307 use a nicer scheme to indexify names
blanchet
parents: 49605
diff changeset
   159
  in
a93f976c3307 use a nicer scheme to indexify names
blanchet
parents: 49605
diff changeset
   160
    map (fn (base, full) => if member (op =) dups base then underscore full else base) ps
a93f976c3307 use a nicer scheme to indexify names
blanchet
parents: 49605
diff changeset
   161
  end;
a93f976c3307 use a nicer scheme to indexify names
blanchet
parents: 49605
diff changeset
   162
49591
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   163
val mp_conj = @{thm mp_conj};
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   164
49300
c707df2e2083 added attributes to theorems
blanchet
parents: 49298
diff changeset
   165
val simp_attrs = @{attributes [simp]};
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   166
val code_simp_attrs = Code.add_default_eqn_attrib :: simp_attrs;
49300
c707df2e2083 added attributes to theorems
blanchet
parents: 49298
diff changeset
   167
51911
6c425d450a8c more robust iterator construction (needed for mutualized FPs)
blanchet
parents: 51910
diff changeset
   168
fun tvar_subst thy Ts Us =
6c425d450a8c more robust iterator construction (needed for mutualized FPs)
blanchet
parents: 51910
diff changeset
   169
  Vartab.fold (cons o apsnd snd) (fold (Sign.typ_match thy) (Ts ~~ Us) Vartab.empty) [];
6c425d450a8c more robust iterator construction (needed for mutualized FPs)
blanchet
parents: 51910
diff changeset
   170
51860
75655198442e export one more function
blanchet
parents: 51859
diff changeset
   171
val exists_subtype_in = Term.exists_subtype o member (op =);
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   172
49342
8ea4bad49ed5 rough and ready induction
blanchet
parents: 49338
diff changeset
   173
fun resort_tfree S (TFree (s, _)) = TFree (s, S);
8ea4bad49ed5 rough and ready induction
blanchet
parents: 49338
diff changeset
   174
51845
af9a208e6543 further enrich data structure
blanchet
parents: 51844
diff changeset
   175
fun typ_subst_nonatomic inst (T as Type (s, Ts)) =
49214
2a3cb4c71b87 construct the right iterator theorem in the recursive case
blanchet
parents: 49213
diff changeset
   176
    (case AList.lookup (op =) inst T of
51845
af9a208e6543 further enrich data structure
blanchet
parents: 51844
diff changeset
   177
      NONE => Type (s, map (typ_subst_nonatomic inst) Ts)
49214
2a3cb4c71b87 construct the right iterator theorem in the recursive case
blanchet
parents: 49213
diff changeset
   178
    | SOME T' => T')
51845
af9a208e6543 further enrich data structure
blanchet
parents: 51844
diff changeset
   179
  | typ_subst_nonatomic inst T = the_default T (AList.lookup (op =) inst T);
49205
674f04c737e0 implemented "mk_iter_or_rec_tac"
blanchet
parents: 49204
diff changeset
   180
49297
47fbf2e3e89c provide a programmatic interface for FP sugar
blanchet
parents: 49287
diff changeset
   181
val lists_bmoc = fold (fn xs => fn t => Term.list_comb (t, xs));
49202
f493cd25737f some work towards iterator and recursor properties
blanchet
parents: 49201
diff changeset
   182
49200
73f9aede57a4 correctly curry recursor arguments
blanchet
parents: 49199
diff changeset
   183
fun mk_tupled_fun x f xs = HOLogic.tupled_lambda x (Term.list_comb (f, xs));
73f9aede57a4 correctly curry recursor arguments
blanchet
parents: 49199
diff changeset
   184
fun mk_uncurried_fun f xs = mk_tupled_fun (HOLogic.mk_tuple xs) f xs;
73f9aede57a4 correctly curry recursor arguments
blanchet
parents: 49199
diff changeset
   185
51794
a1ffbc36323a tuning in preparation for actual changes
blanchet
parents: 51793
diff changeset
   186
fun flat_rec unzipf xs =
a1ffbc36323a tuning in preparation for actual changes
blanchet
parents: 51793
diff changeset
   187
  let val ps = map unzipf xs in
a1ffbc36323a tuning in preparation for actual changes
blanchet
parents: 51793
diff changeset
   188
    (* The first line below gives the preferred order. The second line is for compatibility with the
a1ffbc36323a tuning in preparation for actual changes
blanchet
parents: 51793
diff changeset
   189
       old datatype package: *)
51795
096b96281e34 for compatibility, generate recursor arguments in the same order as old package
blanchet
parents: 51794
diff changeset
   190
(*
51794
a1ffbc36323a tuning in preparation for actual changes
blanchet
parents: 51793
diff changeset
   191
    maps (op @) ps
51795
096b96281e34 for compatibility, generate recursor arguments in the same order as old package
blanchet
parents: 51794
diff changeset
   192
*)
51794
a1ffbc36323a tuning in preparation for actual changes
blanchet
parents: 51793
diff changeset
   193
    maps fst ps @ maps snd ps
51793
22f22172a361 started working on compatibility with old package's recursor
blanchet
parents: 51790
diff changeset
   194
  end;
22f22172a361 started working on compatibility with old package's recursor
blanchet
parents: 51790
diff changeset
   195
51829
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   196
fun flat_predss_getterss qss fss = maps (op @) (qss ~~ fss);
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   197
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   198
fun flat_preds_predsss_gettersss [] [qss] [fss] = flat_predss_getterss qss fss
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   199
  | flat_preds_predsss_gettersss (p :: ps) (qss :: qsss) (fss :: fsss) =
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   200
    p :: flat_predss_getterss qss fss @ flat_preds_predsss_gettersss ps qsss fsss;
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   201
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   202
fun mk_flip (x, Type (_, [T1, Type (_, [T2, T3])])) =
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   203
  Abs ("x", T1, Abs ("y", T2, Var (x, T2 --> T1 --> T3) $ Bound 0 $ Bound 1));
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   204
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   205
fun flip_rels lthy n thm =
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   206
  let
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   207
    val Rs = Term.add_vars (prop_of thm) [];
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   208
    val Rs' = rev (drop (length Rs - n) Rs);
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   209
    val cRs = map (fn f => (certify lthy (Var f), certify lthy (mk_flip f))) Rs';
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   210
  in
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   211
    Drule.cterm_instantiate cRs thm
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   212
  end;
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   213
49536
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   214
fun mk_ctor_or_dtor get_T Ts t =
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   215
  let val Type (_, Ts0) = get_T (fastype_of t) in
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   216
    Term.subst_atomic_types (Ts0 ~~ Ts) t
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   217
  end;
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   218
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   219
val mk_ctor = mk_ctor_or_dtor range_type;
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   220
val mk_dtor = mk_ctor_or_dtor domain_type;
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   221
52170
564be617ae84 generalized "mk_co_iter" to handle mutualized (co)iterators
blanchet
parents: 52169
diff changeset
   222
fun mk_co_iter thy lfp fpT Us t =
49536
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   223
  let
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   224
    val (bindings, body) = strip_type (fastype_of t);
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   225
    val (f_Us, prebody) = split_last bindings;
52170
564be617ae84 generalized "mk_co_iter" to handle mutualized (co)iterators
blanchet
parents: 52169
diff changeset
   226
    val fpT0 = if lfp then prebody else body;
49536
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   227
    val Us0 = distinct (op =) (map (if lfp then body_type else domain_type) f_Us);
52170
564be617ae84 generalized "mk_co_iter" to handle mutualized (co)iterators
blanchet
parents: 52169
diff changeset
   228
    val rho = tvar_subst thy (fpT0 :: Us0) (fpT :: Us);
49536
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   229
  in
52170
564be617ae84 generalized "mk_co_iter" to handle mutualized (co)iterators
blanchet
parents: 52169
diff changeset
   230
    Term.subst_TVars rho t
49536
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   231
  end;
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   232
52170
564be617ae84 generalized "mk_co_iter" to handle mutualized (co)iterators
blanchet
parents: 52169
diff changeset
   233
fun mk_co_iters thy lfp fpTs Cs ts0 =
51911
6c425d450a8c more robust iterator construction (needed for mutualized FPs)
blanchet
parents: 51910
diff changeset
   234
  let
6c425d450a8c more robust iterator construction (needed for mutualized FPs)
blanchet
parents: 51910
diff changeset
   235
    val nn = length fpTs;
6c425d450a8c more robust iterator construction (needed for mutualized FPs)
blanchet
parents: 51910
diff changeset
   236
    val (fpTs0, Cs0) =
52170
564be617ae84 generalized "mk_co_iter" to handle mutualized (co)iterators
blanchet
parents: 52169
diff changeset
   237
      map ((not lfp ? swap) o dest_funT o snd o strip_typeN nn o fastype_of) ts0
51911
6c425d450a8c more robust iterator construction (needed for mutualized FPs)
blanchet
parents: 51910
diff changeset
   238
      |> split_list;
6c425d450a8c more robust iterator construction (needed for mutualized FPs)
blanchet
parents: 51910
diff changeset
   239
    val rho = tvar_subst thy (fpTs0 @ Cs0) (fpTs @ Cs);
6c425d450a8c more robust iterator construction (needed for mutualized FPs)
blanchet
parents: 51910
diff changeset
   240
  in
52170
564be617ae84 generalized "mk_co_iter" to handle mutualized (co)iterators
blanchet
parents: 52169
diff changeset
   241
    map (Term.subst_TVars rho) ts0
51911
6c425d450a8c more robust iterator construction (needed for mutualized FPs)
blanchet
parents: 51910
diff changeset
   242
  end;
51827
836257faaad5 tuned signature
blanchet
parents: 51824
diff changeset
   243
52169
blanchet
parents: 51912
diff changeset
   244
val mk_fp_iter_fun_types = fst o split_last o binder_types o fastype_of;
blanchet
parents: 51912
diff changeset
   245
51846
67b8712dabb7 export more functions (useful for primrec_new)
blanchet
parents: 51845
diff changeset
   246
fun unzip_recT fpTs T =
51827
836257faaad5 tuned signature
blanchet
parents: 51824
diff changeset
   247
  let
51829
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   248
    fun project_recT proj =
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   249
      let
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   250
        fun project (Type (s as @{type_name prod}, Ts as [T, U])) =
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   251
            if member (op =) fpTs T then proj (T, U) else Type (s, map project Ts)
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   252
          | project (Type (s, Ts)) = Type (s, map project Ts)
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   253
          | project T = T;
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   254
      in project end;
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   255
  in
51846
67b8712dabb7 export more functions (useful for primrec_new)
blanchet
parents: 51845
diff changeset
   256
    if exists_subtype_in fpTs T then ([project_recT fst T], [project_recT snd T]) else ([T], [])
51829
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   257
  end;
51827
836257faaad5 tuned signature
blanchet
parents: 51824
diff changeset
   258
51889
blanchet
parents: 51888
diff changeset
   259
fun mk_fold_fun_typess y_Tsss Cs = map2 (fn C => map (fn y_Ts => y_Ts ---> C)) Cs y_Tsss;
51905
blanchet
parents: 51904
diff changeset
   260
val mk_rec_fun_typess = mk_fold_fun_typess oo map o map o flat_rec o unzip_recT;
51827
836257faaad5 tuned signature
blanchet
parents: 51824
diff changeset
   261
51846
67b8712dabb7 export more functions (useful for primrec_new)
blanchet
parents: 51845
diff changeset
   262
fun mk_fun_arg_typess n ms = map2 dest_tupleT ms o dest_sumTN_balanced n o domain_type;
67b8712dabb7 export more functions (useful for primrec_new)
blanchet
parents: 51845
diff changeset
   263
51885
cc60613a1528 rationalize ML signature
blanchet
parents: 51884
diff changeset
   264
fun mk_iter_fun_arg_types_pairsss fpTs ns mss =
cc60613a1528 rationalize ML signature
blanchet
parents: 51884
diff changeset
   265
  mk_fp_iter_fun_types
cc60613a1528 rationalize ML signature
blanchet
parents: 51884
diff changeset
   266
  #> map3 mk_fun_arg_typess ns mss
cc60613a1528 rationalize ML signature
blanchet
parents: 51884
diff changeset
   267
  #> map (map (map (unzip_recT fpTs)));
cc60613a1528 rationalize ML signature
blanchet
parents: 51884
diff changeset
   268
51889
blanchet
parents: 51888
diff changeset
   269
fun mk_fold_rec_args_types fpTs Cs ns mss ctor_fold_fun_Ts ctor_rec_fun_Ts lthy =
51832
blanchet
parents: 51831
diff changeset
   270
  let
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   271
    val y_Tsss = map3 mk_fun_arg_typess ns mss ctor_fold_fun_Ts;
51889
blanchet
parents: 51888
diff changeset
   272
    val g_Tss = mk_fold_fun_typess y_Tsss Cs;
51832
blanchet
parents: 51831
diff changeset
   273
blanchet
parents: 51831
diff changeset
   274
    val ((gss, ysss), lthy) =
blanchet
parents: 51831
diff changeset
   275
      lthy
blanchet
parents: 51831
diff changeset
   276
      |> mk_Freess "f" g_Tss
blanchet
parents: 51831
diff changeset
   277
      ||>> mk_Freesss "x" y_Tsss;
blanchet
parents: 51831
diff changeset
   278
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   279
    val z_Tsss = map3 mk_fun_arg_typess ns mss ctor_rec_fun_Ts;
51889
blanchet
parents: 51888
diff changeset
   280
    val h_Tss = mk_rec_fun_typess fpTs z_Tsss Cs;
51832
blanchet
parents: 51831
diff changeset
   281
blanchet
parents: 51831
diff changeset
   282
    val hss = map2 (map2 retype_free) h_Tss gss;
blanchet
parents: 51831
diff changeset
   283
    val zsss = map2 (map2 (map2 retype_free)) z_Tsss ysss;
blanchet
parents: 51831
diff changeset
   284
  in
blanchet
parents: 51831
diff changeset
   285
    (((gss, g_Tss, ysss), (hss, h_Tss, zsss)), lthy)
blanchet
parents: 51831
diff changeset
   286
  end;
blanchet
parents: 51831
diff changeset
   287
51888
1cbcc0cc6bdf imported patch refactor_coiter_constr
blanchet
parents: 51886
diff changeset
   288
fun mk_unfold_corec_args_types fpTs Cs ns mss dtor_unfold_fun_Ts dtor_corec_fun_Ts lthy =
51829
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   289
  let
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   290
    (*avoid "'a itself" arguments in coiterators and corecursors*)
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   291
    fun repair_arity [0] = [1]
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   292
      | repair_arity ms = ms;
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   293
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   294
    fun project_corecT proj =
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   295
      let
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   296
        fun project (Type (s as @{type_name sum}, Ts as [T, U])) =
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   297
            if member (op =) fpTs T then proj (T, U) else Type (s, map project Ts)
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   298
          | project (Type (s, Ts)) = Type (s, map project Ts)
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   299
          | project T = T;
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   300
      in project end;
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   301
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   302
    fun unzip_corecT T =
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   303
      if exists_subtype_in fpTs T then [project_corecT fst T, project_corecT snd T] else [T];
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   304
51831
blanchet
parents: 51830
diff changeset
   305
    val p_Tss = map2 (fn n => replicate (Int.max (0, n - 1)) o mk_pred1T) ns Cs;
51829
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   306
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   307
    fun mk_types maybe_unzipT fun_Ts =
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   308
      let
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   309
        val f_sum_prod_Ts = map range_type fun_Ts;
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   310
        val f_prod_Tss = map2 dest_sumTN_balanced ns f_sum_prod_Ts;
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   311
        val f_Tsss = map2 (map2 dest_tupleT o repair_arity) mss f_prod_Tss;
51889
blanchet
parents: 51888
diff changeset
   312
        val f_Tssss = map2 (fn C => map (map (map (curry (op -->) C) o maybe_unzipT))) Cs f_Tsss;
51829
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   313
        val q_Tssss =
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   314
          map (map (map (fn [_] => [] | [_, C] => [mk_pred1T (domain_type C)]))) f_Tssss;
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   315
        val pf_Tss = map3 flat_preds_predsss_gettersss p_Tss q_Tssss f_Tssss;
51889
blanchet
parents: 51888
diff changeset
   316
      in (q_Tssss, f_Tssss, (f_sum_prod_Ts, f_Tsss, pf_Tss)) end;
51829
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   317
51889
blanchet
parents: 51888
diff changeset
   318
    val (r_Tssss, g_Tssss, unfold_types) = mk_types single dtor_unfold_fun_Ts;
blanchet
parents: 51888
diff changeset
   319
    val (s_Tssss, h_Tssss, corec_types) = mk_types unzip_corecT dtor_corec_fun_Ts;
51831
blanchet
parents: 51830
diff changeset
   320
51829
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   321
    val (((cs, pss), gssss), lthy) =
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   322
      lthy
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   323
      |> mk_Frees "a" Cs
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   324
      ||>> mk_Freess "p" p_Tss
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   325
      ||>> mk_Freessss "g" g_Tssss;
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   326
    val rssss = map (map (map (fn [] => []))) r_Tssss;
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   327
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   328
    val hssss_hd = map2 (map2 (map2 (fn T :: _ => fn [g] => retype_free T g))) h_Tssss gssss;
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   329
    val ((sssss, hssss_tl), lthy) =
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   330
      lthy
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   331
      |> mk_Freessss "q" s_Tssss
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   332
      ||>> mk_Freessss "h" (map (map (map tl)) h_Tssss);
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   333
    val hssss = map2 (map2 (map2 cons)) hssss_hd hssss_tl;
51831
blanchet
parents: 51830
diff changeset
   334
blanchet
parents: 51830
diff changeset
   335
    val cpss = map2 (map o rapp) cs pss;
51829
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   336
51889
blanchet
parents: 51888
diff changeset
   337
    fun mk_args qssss fssss =
51831
blanchet
parents: 51830
diff changeset
   338
      let
blanchet
parents: 51830
diff changeset
   339
        val pfss = map3 flat_preds_predsss_gettersss pss qssss fssss;
blanchet
parents: 51830
diff changeset
   340
        val cqssss = map2 (map o map o map o rapp) cs qssss;
blanchet
parents: 51830
diff changeset
   341
        val cfssss = map2 (map o map o map o rapp) cs fssss;
blanchet
parents: 51830
diff changeset
   342
      in (pfss, cqssss, cfssss) end;
blanchet
parents: 51830
diff changeset
   343
51889
blanchet
parents: 51888
diff changeset
   344
    val unfold_args = mk_args rssss gssss;
blanchet
parents: 51888
diff changeset
   345
    val corec_args = mk_args sssss hssss;
51831
blanchet
parents: 51830
diff changeset
   346
  in
51889
blanchet
parents: 51888
diff changeset
   347
    ((cs, cpss, (unfold_args, unfold_types), (corec_args, corec_types)), lthy)
51831
blanchet
parents: 51830
diff changeset
   348
  end;
51829
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   349
51912
a6b963bc46f0 removed dead argument
blanchet
parents: 51911
diff changeset
   350
fun mk_un_fold_co_rec_prelims lfp fpTs Cs ns mss fp_folds0 fp_recs0 lthy =
51903
126f8d11f873 move function to library
blanchet
parents: 51902
diff changeset
   351
  let
52169
blanchet
parents: 51912
diff changeset
   352
    val thy = Proof_Context.theory_of lthy;
blanchet
parents: 51912
diff changeset
   353
52173
blanchet
parents: 52172
diff changeset
   354
    val (fp_fold_fun_Ts, fp_folds) = mk_co_iters thy lfp fpTs Cs fp_folds0
blanchet
parents: 52172
diff changeset
   355
      |> `(mk_fp_iter_fun_types o hd);
blanchet
parents: 52172
diff changeset
   356
    val (fp_rec_fun_Ts, fp_recs) = mk_co_iters thy lfp fpTs Cs fp_recs0
blanchet
parents: 52172
diff changeset
   357
      |> `(mk_fp_iter_fun_types o hd);
51903
126f8d11f873 move function to library
blanchet
parents: 51902
diff changeset
   358
126f8d11f873 move function to library
blanchet
parents: 51902
diff changeset
   359
    val ((fold_rec_args_types, unfold_corec_args_types), lthy') =
126f8d11f873 move function to library
blanchet
parents: 51902
diff changeset
   360
      if lfp then
126f8d11f873 move function to library
blanchet
parents: 51902
diff changeset
   361
        mk_fold_rec_args_types fpTs Cs ns mss fp_fold_fun_Ts fp_rec_fun_Ts lthy
126f8d11f873 move function to library
blanchet
parents: 51902
diff changeset
   362
        |>> (rpair NONE o SOME)
126f8d11f873 move function to library
blanchet
parents: 51902
diff changeset
   363
      else
126f8d11f873 move function to library
blanchet
parents: 51902
diff changeset
   364
        mk_unfold_corec_args_types fpTs Cs ns mss fp_fold_fun_Ts fp_rec_fun_Ts lthy
126f8d11f873 move function to library
blanchet
parents: 51902
diff changeset
   365
        |>> (pair NONE o SOME)
126f8d11f873 move function to library
blanchet
parents: 51902
diff changeset
   366
  in
126f8d11f873 move function to library
blanchet
parents: 51902
diff changeset
   367
    ((fp_folds, fp_recs, fold_rec_args_types, unfold_corec_args_types), lthy')
126f8d11f873 move function to library
blanchet
parents: 51902
diff changeset
   368
  end;
126f8d11f873 move function to library
blanchet
parents: 51902
diff changeset
   369
49536
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   370
fun mk_map live Ts Us t =
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   371
  let val (Type (_, Ts0), Type (_, Us0)) = strip_typeN (live + 1) (fastype_of t) |>> List.last in
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   372
    Term.subst_atomic_types (Ts0 @ Us0 ~~ Ts @ Us) t
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   373
  end;
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   374
49591
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   375
fun mk_rel live Ts Us t =
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   376
  let val [Type (_, Ts0), Type (_, Us0)] = binder_types (snd (strip_typeN live (fastype_of t))) in
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   377
    Term.subst_atomic_types (Ts0 @ Us0 ~~ Ts @ Us) t
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   378
  end;
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   379
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   380
fun liveness_of_fp_bnf n bnf =
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   381
  (case T_of_bnf bnf of
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   382
    Type (_, Ts) => map (not o member (op =) (deads_of_bnf bnf)) Ts
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   383
  | _ => replicate n false);
49536
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   384
49124
968e1b7de057 more work on FP sugar
blanchet
parents: 49123
diff changeset
   385
fun cannot_merge_types () = error "Mutually recursive types must have the same type parameters";
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
   386
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   387
fun merge_type_arg T T' = if T = T' then T else cannot_merge_types ();
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
   388
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   389
fun merge_type_args (As, As') =
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   390
  if length As = length As' then map2 merge_type_arg As As' else cannot_merge_types ();
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
   391
49591
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   392
fun reassoc_conjs thm =
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   393
  reassoc_conjs (thm RS @{thm conj_assoc[THEN iffD1]})
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   394
  handle THM _ => thm;
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   395
51767
bbcdd8519253 honor user-specified name for relator + generalize syntax
blanchet
parents: 51766
diff changeset
   396
fun type_args_named_constrained_of ((((ncAs, _), _), _), _) = ncAs;
bbcdd8519253 honor user-specified name for relator + generalize syntax
blanchet
parents: 51766
diff changeset
   397
fun type_binding_of ((((_, b), _), _), _) = b;
bbcdd8519253 honor user-specified name for relator + generalize syntax
blanchet
parents: 51766
diff changeset
   398
fun map_binding_of (((_, (b, _)), _), _) = b;
bbcdd8519253 honor user-specified name for relator + generalize syntax
blanchet
parents: 51766
diff changeset
   399
fun rel_binding_of (((_, (_, b)), _), _) = b;
49181
blanchet
parents: 49180
diff changeset
   400
fun mixfix_of ((_, mx), _) = mx;
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
   401
fun ctr_specs_of (_, ctr_specs) = ctr_specs;
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
   402
49286
dde4967c9233 added "defaults" option
blanchet
parents: 49280
diff changeset
   403
fun disc_of ((((disc, _), _), _), _) = disc;
dde4967c9233 added "defaults" option
blanchet
parents: 49280
diff changeset
   404
fun ctr_of ((((_, ctr), _), _), _) = ctr;
dde4967c9233 added "defaults" option
blanchet
parents: 49280
diff changeset
   405
fun args_of (((_, args), _), _) = args;
dde4967c9233 added "defaults" option
blanchet
parents: 49280
diff changeset
   406
fun defaults_of ((_, ds), _) = ds;
49181
blanchet
parents: 49180
diff changeset
   407
fun ctr_mixfix_of (_, mx) = mx;
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
   408
51907
882d850aa3ca export one more function
blanchet
parents: 51906
diff changeset
   409
fun add_nesty_bnf_names Us =
882d850aa3ca export one more function
blanchet
parents: 51906
diff changeset
   410
  let
882d850aa3ca export one more function
blanchet
parents: 51906
diff changeset
   411
    fun add (Type (s, Ts)) ss =
882d850aa3ca export one more function
blanchet
parents: 51906
diff changeset
   412
        let val (needs, ss') = fold_map add Ts ss in
882d850aa3ca export one more function
blanchet
parents: 51906
diff changeset
   413
          if exists I needs then (true, insert (op =) s ss') else (false, ss')
882d850aa3ca export one more function
blanchet
parents: 51906
diff changeset
   414
        end
882d850aa3ca export one more function
blanchet
parents: 51906
diff changeset
   415
      | add T ss = (member (op =) Us T, ss);
882d850aa3ca export one more function
blanchet
parents: 51906
diff changeset
   416
  in snd oo add end;
882d850aa3ca export one more function
blanchet
parents: 51906
diff changeset
   417
882d850aa3ca export one more function
blanchet
parents: 51906
diff changeset
   418
fun nesty_bnfs ctxt ctr_Tsss Us =
882d850aa3ca export one more function
blanchet
parents: 51906
diff changeset
   419
  map_filter (bnf_of ctxt) (fold (fold (fold (add_nesty_bnf_names Us))) ctr_Tsss []);
882d850aa3ca export one more function
blanchet
parents: 51906
diff changeset
   420
51855
fcdf213d332c more code rationalization
blanchet
parents: 51854
diff changeset
   421
fun indexify_fst xs f (x, y) = f (find_index (curry (op =) x) xs) (x, y);
fcdf213d332c more code rationalization
blanchet
parents: 51854
diff changeset
   422
51854
af63d7f52c02 more code rationalization
blanchet
parents: 51853
diff changeset
   423
fun build_map lthy build_simple =
51853
cce8b6ba429d more code rationalization
blanchet
parents: 51852
diff changeset
   424
  let
cce8b6ba429d more code rationalization
blanchet
parents: 51852
diff changeset
   425
    fun build (TU as (T, U)) =
cce8b6ba429d more code rationalization
blanchet
parents: 51852
diff changeset
   426
      if T = U then
cce8b6ba429d more code rationalization
blanchet
parents: 51852
diff changeset
   427
        id_const T
cce8b6ba429d more code rationalization
blanchet
parents: 51852
diff changeset
   428
      else
cce8b6ba429d more code rationalization
blanchet
parents: 51852
diff changeset
   429
        (case TU of
51854
af63d7f52c02 more code rationalization
blanchet
parents: 51853
diff changeset
   430
          (Type (s, Ts), Type (s', Us)) =>
af63d7f52c02 more code rationalization
blanchet
parents: 51853
diff changeset
   431
          if s = s' then
af63d7f52c02 more code rationalization
blanchet
parents: 51853
diff changeset
   432
            let
af63d7f52c02 more code rationalization
blanchet
parents: 51853
diff changeset
   433
              val bnf = the (bnf_of lthy s);
af63d7f52c02 more code rationalization
blanchet
parents: 51853
diff changeset
   434
              val live = live_of_bnf bnf;
af63d7f52c02 more code rationalization
blanchet
parents: 51853
diff changeset
   435
              val mapx = mk_map live Ts Us (map_of_bnf bnf);
af63d7f52c02 more code rationalization
blanchet
parents: 51853
diff changeset
   436
              val TUs' = map dest_funT (fst (strip_typeN live (fastype_of mapx)));
af63d7f52c02 more code rationalization
blanchet
parents: 51853
diff changeset
   437
            in Term.list_comb (mapx, map build TUs') end
af63d7f52c02 more code rationalization
blanchet
parents: 51853
diff changeset
   438
          else
af63d7f52c02 more code rationalization
blanchet
parents: 51853
diff changeset
   439
            build_simple TU
51853
cce8b6ba429d more code rationalization
blanchet
parents: 51852
diff changeset
   440
        | _ => build_simple TU);
cce8b6ba429d more code rationalization
blanchet
parents: 51852
diff changeset
   441
  in build end;
cce8b6ba429d more code rationalization
blanchet
parents: 51852
diff changeset
   442
51884
2928fda12661 factor out construction of iterator
blanchet
parents: 51883
diff changeset
   443
fun mk_iter_body lthy fpTs ctor_iter fss xsss =
2928fda12661 factor out construction of iterator
blanchet
parents: 51883
diff changeset
   444
  let
2928fda12661 factor out construction of iterator
blanchet
parents: 51883
diff changeset
   445
    fun build_prod_proj mk_proj = build_map lthy (mk_proj o fst);
2928fda12661 factor out construction of iterator
blanchet
parents: 51883
diff changeset
   446
2928fda12661 factor out construction of iterator
blanchet
parents: 51883
diff changeset
   447
    (* TODO: Avoid these complications; cf. corec case *)
2928fda12661 factor out construction of iterator
blanchet
parents: 51883
diff changeset
   448
    fun mk_U proj (Type (s as @{type_name prod}, Ts as [T', U])) =
2928fda12661 factor out construction of iterator
blanchet
parents: 51883
diff changeset
   449
        if member (op =) fpTs T' then proj (T', U) else Type (s, map (mk_U proj) Ts)
2928fda12661 factor out construction of iterator
blanchet
parents: 51883
diff changeset
   450
      | mk_U proj (Type (s, Ts)) = Type (s, map (mk_U proj) Ts)
2928fda12661 factor out construction of iterator
blanchet
parents: 51883
diff changeset
   451
      | mk_U _ T = T;
2928fda12661 factor out construction of iterator
blanchet
parents: 51883
diff changeset
   452
2928fda12661 factor out construction of iterator
blanchet
parents: 51883
diff changeset
   453
    fun unzip_rec (x as Free (_, T)) =
2928fda12661 factor out construction of iterator
blanchet
parents: 51883
diff changeset
   454
      if exists_subtype_in fpTs T then
2928fda12661 factor out construction of iterator
blanchet
parents: 51883
diff changeset
   455
        ([build_prod_proj fst_const (T, mk_U fst T) $ x],
2928fda12661 factor out construction of iterator
blanchet
parents: 51883
diff changeset
   456
         [build_prod_proj snd_const (T, mk_U snd T) $ x])
2928fda12661 factor out construction of iterator
blanchet
parents: 51883
diff changeset
   457
      else
2928fda12661 factor out construction of iterator
blanchet
parents: 51883
diff changeset
   458
        ([x], []);
2928fda12661 factor out construction of iterator
blanchet
parents: 51883
diff changeset
   459
2928fda12661 factor out construction of iterator
blanchet
parents: 51883
diff changeset
   460
    fun mk_iter_arg f xs = mk_tupled_fun (HOLogic.mk_tuple xs) f (flat_rec unzip_rec xs);
2928fda12661 factor out construction of iterator
blanchet
parents: 51883
diff changeset
   461
  in
2928fda12661 factor out construction of iterator
blanchet
parents: 51883
diff changeset
   462
    Term.list_comb (ctor_iter, map2 (mk_sum_caseN_balanced oo map2 mk_iter_arg) fss xsss)
2928fda12661 factor out construction of iterator
blanchet
parents: 51883
diff changeset
   463
  end;
2928fda12661 factor out construction of iterator
blanchet
parents: 51883
diff changeset
   464
51900
blanchet
parents: 51899
diff changeset
   465
fun mk_preds_getterss_join c cps sum_prod_T cqfss =
blanchet
parents: 51899
diff changeset
   466
  let val n = length cqfss in
blanchet
parents: 51899
diff changeset
   467
    Term.lambda c (mk_IfN sum_prod_T cps
blanchet
parents: 51899
diff changeset
   468
      (map2 (mk_InN_balanced sum_prod_T n) (map HOLogic.mk_tuple cqfss) (1 upto n)))
blanchet
parents: 51899
diff changeset
   469
  end;
51886
e7fac4a483b5 started factoring out coiter construction
blanchet
parents: 51885
diff changeset
   470
51900
blanchet
parents: 51899
diff changeset
   471
fun mk_coiter_body lthy cs cpss f_sum_prod_Ts f_Tsss cqssss cfssss dtor_coiter =
51888
1cbcc0cc6bdf imported patch refactor_coiter_constr
blanchet
parents: 51886
diff changeset
   472
  let
1cbcc0cc6bdf imported patch refactor_coiter_constr
blanchet
parents: 51886
diff changeset
   473
    fun build_sum_inj mk_inj = build_map lthy (uncurry mk_inj o dest_sumT o snd);
1cbcc0cc6bdf imported patch refactor_coiter_constr
blanchet
parents: 51886
diff changeset
   474
1cbcc0cc6bdf imported patch refactor_coiter_constr
blanchet
parents: 51886
diff changeset
   475
    fun build_dtor_coiter_arg _ [] [cf] = cf
1cbcc0cc6bdf imported patch refactor_coiter_constr
blanchet
parents: 51886
diff changeset
   476
      | build_dtor_coiter_arg T [cq] [cf, cf'] =
1cbcc0cc6bdf imported patch refactor_coiter_constr
blanchet
parents: 51886
diff changeset
   477
        mk_If cq (build_sum_inj Inl_const (fastype_of cf, T) $ cf)
1cbcc0cc6bdf imported patch refactor_coiter_constr
blanchet
parents: 51886
diff changeset
   478
          (build_sum_inj Inr_const (fastype_of cf', T) $ cf')
1cbcc0cc6bdf imported patch refactor_coiter_constr
blanchet
parents: 51886
diff changeset
   479
1cbcc0cc6bdf imported patch refactor_coiter_constr
blanchet
parents: 51886
diff changeset
   480
    val cqfsss = map3 (map3 (map3 build_dtor_coiter_arg)) f_Tsss cqssss cfssss;
1cbcc0cc6bdf imported patch refactor_coiter_constr
blanchet
parents: 51886
diff changeset
   481
  in
51900
blanchet
parents: 51899
diff changeset
   482
    Term.list_comb (dtor_coiter, map4 mk_preds_getterss_join cs cpss f_sum_prod_Ts cqfsss)
51888
1cbcc0cc6bdf imported patch refactor_coiter_constr
blanchet
parents: 51886
diff changeset
   483
  end;
51886
e7fac4a483b5 started factoring out coiter construction
blanchet
parents: 51885
diff changeset
   484
52172
1b3f907caf61 killed dead argument
blanchet
parents: 52171
diff changeset
   485
fun define_fold_rec (fold_only, rec_only) mk_binding fpTs Cs ctor_fold ctor_rec lthy0 =
51897
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   486
  let
52170
564be617ae84 generalized "mk_co_iter" to handle mutualized (co)iterators
blanchet
parents: 52169
diff changeset
   487
    val thy = Proof_Context.theory_of lthy0;
564be617ae84 generalized "mk_co_iter" to handle mutualized (co)iterators
blanchet
parents: 52169
diff changeset
   488
51899
c2c23ac31973 code tuning
blanchet
parents: 51897
diff changeset
   489
    val nn = length fpTs;
c2c23ac31973 code tuning
blanchet
parents: 51897
diff changeset
   490
52170
564be617ae84 generalized "mk_co_iter" to handle mutualized (co)iterators
blanchet
parents: 52169
diff changeset
   491
    val fpT_to_C as Type (_, [fpT, _]) = snd (strip_typeN nn (fastype_of ctor_fold));
51897
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   492
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   493
    fun generate_iter (suf, ctor_iter, (fss, f_Tss, xsss)) =
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   494
      let
51899
c2c23ac31973 code tuning
blanchet
parents: 51897
diff changeset
   495
        val res_T = fold_rev (curry (op --->)) f_Tss fpT_to_C;
51897
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   496
        val binding = mk_binding suf;
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   497
        val spec =
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   498
          mk_Trueprop_eq (lists_bmoc fss (Free (Binding.name_of binding, res_T)),
51907
882d850aa3ca export one more function
blanchet
parents: 51906
diff changeset
   499
            mk_iter_body lthy0 fpTs ctor_iter fss xsss);
51897
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   500
      in (binding, spec) end;
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   501
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   502
    val binding_specs =
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   503
      map generate_iter [(foldN, ctor_fold, fold_only), (recN, ctor_rec, rec_only)];
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   504
51907
882d850aa3ca export one more function
blanchet
parents: 51906
diff changeset
   505
    val ((csts, defs), (lthy', lthy)) = lthy0
51897
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   506
      |> apfst split_list o fold_map (fn (b, spec) =>
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   507
        Specification.definition (SOME (b, NONE, NoSyn), ((Thm.def_binding b, []), spec))
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   508
        #>> apsnd snd) binding_specs
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   509
      ||> `Local_Theory.restore;
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   510
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   511
    val phi = Proof_Context.export_morphism lthy lthy';
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   512
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   513
    val [fold_def, rec_def] = map (Morphism.thm phi) defs;
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   514
52170
564be617ae84 generalized "mk_co_iter" to handle mutualized (co)iterators
blanchet
parents: 52169
diff changeset
   515
    val [foldx, recx] = map (mk_co_iter thy true fpT Cs o Morphism.term phi) csts;
51897
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   516
  in
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   517
    ((foldx, recx, fold_def, rec_def), lthy')
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   518
  end;
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   519
52172
1b3f907caf61 killed dead argument
blanchet
parents: 52171
diff changeset
   520
fun define_unfold_corec (cs, cpss, unfold_only, corec_only) mk_binding fpTs Cs dtor_unfold
51907
882d850aa3ca export one more function
blanchet
parents: 51906
diff changeset
   521
    dtor_corec lthy0 =
51897
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   522
  let
52170
564be617ae84 generalized "mk_co_iter" to handle mutualized (co)iterators
blanchet
parents: 52169
diff changeset
   523
    val thy = Proof_Context.theory_of lthy0;
564be617ae84 generalized "mk_co_iter" to handle mutualized (co)iterators
blanchet
parents: 52169
diff changeset
   524
51899
c2c23ac31973 code tuning
blanchet
parents: 51897
diff changeset
   525
    val nn = length fpTs;
c2c23ac31973 code tuning
blanchet
parents: 51897
diff changeset
   526
52170
564be617ae84 generalized "mk_co_iter" to handle mutualized (co)iterators
blanchet
parents: 52169
diff changeset
   527
    val C_to_fpT as Type (_, [_, fpT]) = snd (strip_typeN nn (fastype_of dtor_unfold));
51897
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   528
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   529
    fun generate_coiter (suf, dtor_coiter, ((pfss, cqssss, cfssss),
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   530
        (f_sum_prod_Ts, f_Tsss, pf_Tss))) =
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   531
      let
51899
c2c23ac31973 code tuning
blanchet
parents: 51897
diff changeset
   532
        val res_T = fold_rev (curry (op --->)) pf_Tss C_to_fpT;
51897
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   533
        val binding = mk_binding suf;
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   534
        val spec =
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   535
          mk_Trueprop_eq (lists_bmoc pfss (Free (Binding.name_of binding, res_T)),
51907
882d850aa3ca export one more function
blanchet
parents: 51906
diff changeset
   536
            mk_coiter_body lthy0 cs cpss f_sum_prod_Ts f_Tsss cqssss cfssss dtor_coiter);
51897
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   537
      in (binding, spec) end;
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   538
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   539
    val binding_specs =
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   540
      map generate_coiter [(unfoldN, dtor_unfold, unfold_only), (corecN, dtor_corec, corec_only)];
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   541
51907
882d850aa3ca export one more function
blanchet
parents: 51906
diff changeset
   542
    val ((csts, defs), (lthy', lthy)) = lthy0
51897
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   543
      |> apfst split_list o fold_map (fn (b, spec) =>
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   544
        Specification.definition (SOME (b, NONE, NoSyn), ((Thm.def_binding b, []), spec))
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   545
        #>> apsnd snd) binding_specs
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   546
      ||> `Local_Theory.restore;
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   547
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   548
    val phi = Proof_Context.export_morphism lthy lthy';
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   549
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   550
    val [unfold_def, corec_def] = map (Morphism.thm phi) defs;
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   551
52170
564be617ae84 generalized "mk_co_iter" to handle mutualized (co)iterators
blanchet
parents: 52169
diff changeset
   552
    val [unfold, corec] = map (mk_co_iter thy false fpT Cs o Morphism.term phi) csts;
51897
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   553
  in
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   554
    ((unfold, corec, unfold_def, corec_def), lthy')
52172
1b3f907caf61 killed dead argument
blanchet
parents: 52171
diff changeset
   555
  end ;
51897
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   556
52171
blanchet
parents: 52170
diff changeset
   557
fun derive_induct_fold_rec_thms_for_types pre_bnfs ctor_folds ctor_recs ctor_induct ctor_fold_thms
51912
a6b963bc46f0 removed dead argument
blanchet
parents: 51911
diff changeset
   558
    ctor_rec_thms nesting_bnfs nested_bnfs fpTs Cs ctrss ctr_defss folds recs fold_defs rec_defs
51827
836257faaad5 tuned signature
blanchet
parents: 51824
diff changeset
   559
    lthy =
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   560
  let
51827
836257faaad5 tuned signature
blanchet
parents: 51824
diff changeset
   561
    val ctr_Tsss = map (map (binder_types o fastype_of)) ctrss;
836257faaad5 tuned signature
blanchet
parents: 51824
diff changeset
   562
51815
efacb9b99865 tune signatures
blanchet
parents: 51814
diff changeset
   563
    val nn = length pre_bnfs;
51827
836257faaad5 tuned signature
blanchet
parents: 51824
diff changeset
   564
    val ns = map length ctr_Tsss;
836257faaad5 tuned signature
blanchet
parents: 51824
diff changeset
   565
    val mss = map (map length) ctr_Tsss;
51815
efacb9b99865 tune signatures
blanchet
parents: 51814
diff changeset
   566
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   567
    val pre_map_defs = map map_def_of_bnf pre_bnfs;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   568
    val pre_set_defss = map set_defs_of_bnf pre_bnfs;
51830
blanchet
parents: 51829
diff changeset
   569
    val nesting_map_ids'' = map (unfold_thms lthy @{thms id_def} o map_id_of_bnf) nesting_bnfs;
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   570
    val nested_map_comp's = map map_comp'_of_bnf nested_bnfs;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   571
    val nested_map_ids'' = map (unfold_thms lthy @{thms id_def} o map_id_of_bnf) nested_bnfs;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   572
    val nested_set_map's = maps set_map'_of_bnf nested_bnfs;
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   573
51816
5f1dec4297da use base names, not full names
blanchet
parents: 51815
diff changeset
   574
    val fp_b_names = map base_name_of_typ fpTs;
51811
1461426e2bf1 tuned function signatures
blanchet
parents: 51810
diff changeset
   575
52171
blanchet
parents: 52170
diff changeset
   576
    val ctor_fold_fun_Ts = mk_fp_iter_fun_types (hd ctor_folds);
blanchet
parents: 52170
diff changeset
   577
    val ctor_rec_fun_Ts = mk_fp_iter_fun_types (hd ctor_recs);
51827
836257faaad5 tuned signature
blanchet
parents: 51824
diff changeset
   578
51835
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
   579
    val (((gss, _, _), (hss, _, _)), names_lthy0) =
51889
blanchet
parents: 51888
diff changeset
   580
      mk_fold_rec_args_types fpTs Cs ns mss ctor_fold_fun_Ts ctor_rec_fun_Ts lthy;
51827
836257faaad5 tuned signature
blanchet
parents: 51824
diff changeset
   581
51832
blanchet
parents: 51831
diff changeset
   582
    val ((((ps, ps'), xsss), us'), names_lthy) =
blanchet
parents: 51831
diff changeset
   583
      names_lthy0
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   584
      |> mk_Frees' "P" (map mk_pred1T fpTs)
51827
836257faaad5 tuned signature
blanchet
parents: 51824
diff changeset
   585
      ||>> mk_Freesss "x" ctr_Tsss
51816
5f1dec4297da use base names, not full names
blanchet
parents: 51815
diff changeset
   586
      ||>> Variable.variant_fixes fp_b_names;
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   587
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   588
    val us = map2 (curry Free) us' fpTs;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   589
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   590
    fun mk_sets_nested bnf =
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   591
      let
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   592
        val Type (T_name, Us) = T_of_bnf bnf;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   593
        val lives = lives_of_bnf bnf;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   594
        val sets = sets_of_bnf bnf;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   595
        fun mk_set U =
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   596
          (case find_index (curry (op =) U) lives of
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   597
            ~1 => Term.dummy
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   598
          | i => nth sets i);
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   599
      in
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   600
        (T_name, map mk_set Us)
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   601
      end;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   602
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   603
    val setss_nested = map mk_sets_nested nested_bnfs;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   604
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   605
    val (induct_thms, induct_thm) =
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   606
      let
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   607
        fun mk_set Ts t =
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   608
          let val Type (_, Ts0) = domain_type (fastype_of t) in
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   609
            Term.subst_atomic_types (Ts0 ~~ Ts) t
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   610
          end;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   611
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   612
        fun mk_raw_prem_prems names_lthy (x as Free (s, T as Type (T_name, Ts0))) =
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   613
            (case find_index (curry (op =) T) fpTs of
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   614
              ~1 =>
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   615
              (case AList.lookup (op =) setss_nested T_name of
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   616
                NONE => []
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   617
              | SOME raw_sets0 =>
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   618
                let
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   619
                  val (Ts, raw_sets) =
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   620
                    split_list (filter (exists_subtype_in fpTs o fst) (Ts0 ~~ raw_sets0));
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   621
                  val sets = map (mk_set Ts0) raw_sets;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   622
                  val (ys, names_lthy') = names_lthy |> mk_Frees s Ts;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   623
                  val xysets = map (pair x) (ys ~~ sets);
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   624
                  val ppremss = map (mk_raw_prem_prems names_lthy') ys;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   625
                in
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   626
                  flat (map2 (map o apfst o cons) xysets ppremss)
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   627
                end)
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   628
            | kk => [([], (kk + 1, x))])
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   629
          | mk_raw_prem_prems _ _ = [];
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   630
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   631
        fun close_prem_prem xs t =
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   632
          fold_rev Logic.all (map Free (drop (nn + length xs)
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   633
            (rev (Term.add_frees t (map dest_Free xs @ ps'))))) t;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   634
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   635
        fun mk_prem_prem xs (xysets, (j, x)) =
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   636
          close_prem_prem xs (Logic.list_implies (map (fn (x', (y, set)) =>
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   637
              HOLogic.mk_Trueprop (HOLogic.mk_mem (y, set $ x'))) xysets,
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   638
            HOLogic.mk_Trueprop (nth ps (j - 1) $ x)));
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   639
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   640
        fun mk_raw_prem phi ctr ctr_Ts =
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   641
          let
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   642
            val (xs, names_lthy') = names_lthy |> mk_Frees "x" ctr_Ts;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   643
            val pprems = maps (mk_raw_prem_prems names_lthy') xs;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   644
          in (xs, pprems, HOLogic.mk_Trueprop (phi $ Term.list_comb (ctr, xs))) end;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   645
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   646
        fun mk_prem (xs, raw_pprems, concl) =
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   647
          fold_rev Logic.all xs (Logic.list_implies (map (mk_prem_prem xs) raw_pprems, concl));
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   648
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   649
        val raw_premss = map3 (map2 o mk_raw_prem) ps ctrss ctr_Tsss;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   650
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   651
        val goal =
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   652
          Library.foldr (Logic.list_implies o apfst (map mk_prem)) (raw_premss,
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   653
            HOLogic.mk_Trueprop (Library.foldr1 HOLogic.mk_conj (map2 (curry (op $)) ps us)));
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   654
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   655
        val kksss = map (map (map (fst o snd) o #2)) raw_premss;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   656
51814
blanchet
parents: 51813
diff changeset
   657
        val ctor_induct' = ctor_induct OF (map mk_sumEN_tupled_balanced mss);
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   658
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   659
        val thm =
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   660
          Goal.prove_sorry lthy [] [] goal (fn {context = ctxt, ...} =>
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   661
            mk_induct_tac ctxt nn ns mss kksss (flat ctr_defss) ctor_induct' nested_set_map's
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   662
              pre_set_defss)
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   663
          |> singleton (Proof_Context.export names_lthy lthy)
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   664
          |> Thm.close_derivation;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   665
      in
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   666
        `(conj_dests nn) thm
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   667
      end;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   668
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   669
    val induct_cases = quasi_unambiguous_case_names (maps (map name_of_ctr) ctrss);
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   670
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   671
    val (fold_thmss, rec_thmss) =
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   672
      let
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   673
        val xctrss = map2 (map2 (curry Term.list_comb)) ctrss xsss;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   674
        val gfolds = map (lists_bmoc gss) folds;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   675
        val hrecs = map (lists_bmoc hss) recs;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   676
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   677
        fun mk_goal fss fiter xctr f xs fxs =
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   678
          fold_rev (fold_rev Logic.all) (xs :: fss)
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   679
            (mk_Trueprop_eq (fiter $ xctr, Term.list_comb (f, fxs)));
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   680
51845
af9a208e6543 further enrich data structure
blanchet
parents: 51844
diff changeset
   681
        val mk_U = typ_subst_nonatomic (map2 pair fpTs Cs);
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   682
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   683
        fun unzip_iters fiters combine (x as Free (_, T)) =
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   684
          if exists_subtype_in fpTs T then
51855
fcdf213d332c more code rationalization
blanchet
parents: 51854
diff changeset
   685
            combine (x, build_map lthy (indexify_fst fpTs (K o nth fiters)) (T, mk_U T) $ x)
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   686
          else
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   687
            ([x], []);
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   688
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   689
        val gxsss = map (map (flat_rec (unzip_iters gfolds (fn (_, t) => ([t], []))))) xsss;
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   690
        val hxsss = map (map (flat_rec (unzip_iters hrecs (pairself single)))) xsss;
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   691
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   692
        val fold_goalss = map5 (map4 o mk_goal gss) gfolds xctrss gss xsss gxsss;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   693
        val rec_goalss = map5 (map4 o mk_goal hss) hrecs xctrss hss xsss hxsss;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   694
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   695
        val fold_tacss =
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   696
          map2 (map o mk_iter_tac pre_map_defs [] nesting_map_ids'' fold_defs) ctor_fold_thms
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   697
            ctr_defss;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   698
        val rec_tacss =
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   699
          map2 (map o mk_iter_tac pre_map_defs nested_map_comp's
51814
blanchet
parents: 51813
diff changeset
   700
            (nested_map_ids'' @ nesting_map_ids'') rec_defs) ctor_rec_thms ctr_defss;
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   701
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   702
        fun prove goal tac =
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   703
          Goal.prove_sorry lthy [] [] goal (tac o #context)
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   704
          |> Thm.close_derivation;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   705
      in
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   706
        (map2 (map2 prove) fold_goalss fold_tacss, map2 (map2 prove) rec_goalss rec_tacss)
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   707
      end;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   708
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   709
    val induct_case_names_attr = Attrib.internal (K (Rule_Cases.case_names induct_cases));
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   710
  in
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   711
    ((induct_thm, induct_thms, [induct_case_names_attr]),
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   712
     (fold_thmss, code_simp_attrs), (rec_thmss, code_simp_attrs))
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   713
  end;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   714
52171
blanchet
parents: 52170
diff changeset
   715
fun derive_coinduct_unfold_corec_thms_for_types pre_bnfs dtor_unfolds dtor_corecs dtor_coinduct
51814
blanchet
parents: 51813
diff changeset
   716
    dtor_strong_induct dtor_ctors dtor_unfold_thms dtor_corec_thms nesting_bnfs nested_bnfs fpTs Cs
51840
b304fb6c5ef5 renamed records
blanchet
parents: 51839
diff changeset
   717
    As kss mss ns ctr_defss ctr_sugars unfolds corecs unfold_defs corec_defs lthy =
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   718
  let
51815
efacb9b99865 tune signatures
blanchet
parents: 51814
diff changeset
   719
    val nn = length pre_bnfs;
efacb9b99865 tune signatures
blanchet
parents: 51814
diff changeset
   720
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   721
    val pre_map_defs = map map_def_of_bnf pre_bnfs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   722
    val pre_rel_defs = map rel_def_of_bnf pre_bnfs;
51830
blanchet
parents: 51829
diff changeset
   723
    val nesting_map_ids'' = map (unfold_thms lthy @{thms id_def} o map_id_of_bnf) nesting_bnfs;
blanchet
parents: 51829
diff changeset
   724
    val nesting_rel_eqs = map rel_eq_of_bnf nesting_bnfs;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   725
    val nested_map_comp's = map map_comp'_of_bnf nested_bnfs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   726
    val nested_map_comps'' = map ((fn thm => thm RS sym) o map_comp_of_bnf) nested_bnfs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   727
    val nested_map_ids'' = map (unfold_thms lthy @{thms id_def} o map_id_of_bnf) nested_bnfs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   728
51816
5f1dec4297da use base names, not full names
blanchet
parents: 51815
diff changeset
   729
    val fp_b_names = map base_name_of_typ fpTs;
51811
1461426e2bf1 tuned function signatures
blanchet
parents: 51810
diff changeset
   730
52171
blanchet
parents: 52170
diff changeset
   731
    val dtor_unfold_fun_Ts = mk_fp_iter_fun_types (hd dtor_unfolds);
blanchet
parents: 52170
diff changeset
   732
    val dtor_corec_fun_Ts = mk_fp_iter_fun_types (hd dtor_corecs);
51829
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   733
51840
b304fb6c5ef5 renamed records
blanchet
parents: 51839
diff changeset
   734
    val ctrss = map (map (mk_ctr As) o #ctrs) ctr_sugars;
b304fb6c5ef5 renamed records
blanchet
parents: 51839
diff changeset
   735
    val discss = map (map (mk_disc_or_sel As) o #discs) ctr_sugars;
b304fb6c5ef5 renamed records
blanchet
parents: 51839
diff changeset
   736
    val selsss = map (map (map (mk_disc_or_sel As)) o #selss) ctr_sugars;
b304fb6c5ef5 renamed records
blanchet
parents: 51839
diff changeset
   737
    val exhausts = map #exhaust ctr_sugars;
b304fb6c5ef5 renamed records
blanchet
parents: 51839
diff changeset
   738
    val disc_thmsss = map #disc_thmss ctr_sugars;
b304fb6c5ef5 renamed records
blanchet
parents: 51839
diff changeset
   739
    val discIss = map #discIs ctr_sugars;
b304fb6c5ef5 renamed records
blanchet
parents: 51839
diff changeset
   740
    val sel_thmsss = map #sel_thmss ctr_sugars;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   741
51831
blanchet
parents: 51830
diff changeset
   742
    val ((cs, cpss, ((pgss, crssss, cgssss), _), ((phss, csssss, chssss), _)), names_lthy0) =
51888
1cbcc0cc6bdf imported patch refactor_coiter_constr
blanchet
parents: 51886
diff changeset
   743
      mk_unfold_corec_args_types fpTs Cs ns mss dtor_unfold_fun_Ts dtor_corec_fun_Ts lthy;
51831
blanchet
parents: 51830
diff changeset
   744
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   745
    val (((rs, us'), vs'), names_lthy) =
51831
blanchet
parents: 51830
diff changeset
   746
      names_lthy0
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   747
      |> mk_Frees "R" (map (fn T => mk_pred2T T T) fpTs)
51816
5f1dec4297da use base names, not full names
blanchet
parents: 51815
diff changeset
   748
      ||>> Variable.variant_fixes fp_b_names
5f1dec4297da use base names, not full names
blanchet
parents: 51815
diff changeset
   749
      ||>> Variable.variant_fixes (map (suffix "'") fp_b_names);
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   750
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   751
    val us = map2 (curry Free) us' fpTs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   752
    val udiscss = map2 (map o rapp) us discss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   753
    val uselsss = map2 (map o map o rapp) us selsss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   754
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   755
    val vs = map2 (curry Free) vs' fpTs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   756
    val vdiscss = map2 (map o rapp) vs discss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   757
    val vselsss = map2 (map o map o rapp) vs selsss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   758
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   759
    val ((coinduct_thms, coinduct_thm), (strong_coinduct_thms, strong_coinduct_thm)) =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   760
      let
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   761
        val uvrs = map3 (fn r => fn u => fn v => r $ u $ v) rs us vs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   762
        val uv_eqs = map2 (curry HOLogic.mk_eq) us vs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   763
        val strong_rs =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   764
          map4 (fn u => fn v => fn uvr => fn uv_eq =>
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   765
            fold_rev Term.lambda [u, v] (HOLogic.mk_disj (uvr, uv_eq))) us vs uvrs uv_eqs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   766
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   767
        fun build_rel rs' T =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   768
          (case find_index (curry (op =) T) fpTs of
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   769
            ~1 =>
51856
blanchet
parents: 51855
diff changeset
   770
            if exists_subtype_in fpTs T then
blanchet
parents: 51855
diff changeset
   771
              let
blanchet
parents: 51855
diff changeset
   772
                val Type (s, Ts) = T
blanchet
parents: 51855
diff changeset
   773
                val bnf = the (bnf_of lthy s);
blanchet
parents: 51855
diff changeset
   774
                val live = live_of_bnf bnf;
blanchet
parents: 51855
diff changeset
   775
                val rel = mk_rel live Ts Ts (rel_of_bnf bnf);
blanchet
parents: 51855
diff changeset
   776
                val Ts' = map domain_type (fst (strip_typeN live (fastype_of rel)));
blanchet
parents: 51855
diff changeset
   777
              in Term.list_comb (rel, map (build_rel rs') Ts') end
blanchet
parents: 51855
diff changeset
   778
            else
blanchet
parents: 51855
diff changeset
   779
              HOLogic.eq_const T
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   780
          | kk => nth rs' kk);
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   781
51856
blanchet
parents: 51855
diff changeset
   782
        fun build_rel_app rs' usel vsel = fold rapp [usel, vsel] (build_rel rs' (fastype_of usel));
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   783
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   784
        fun mk_prem_ctr_concls rs' n k udisc usels vdisc vsels =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   785
          (if k = n then [] else [HOLogic.mk_eq (udisc, vdisc)]) @
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   786
          (if null usels then
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   787
             []
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   788
           else
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   789
             [Library.foldr HOLogic.mk_imp (if n = 1 then [] else [udisc, vdisc],
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   790
                Library.foldr1 HOLogic.mk_conj (map2 (build_rel_app rs') usels vsels))]);
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   791
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   792
        fun mk_prem_concl rs' n udiscs uselss vdiscs vselss =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   793
          Library.foldr1 HOLogic.mk_conj
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   794
            (flat (map5 (mk_prem_ctr_concls rs' n) (1 upto n) udiscs uselss vdiscs vselss))
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   795
          handle List.Empty => @{term True};
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   796
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   797
        fun mk_prem rs' uvr u v n udiscs uselss vdiscs vselss =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   798
          fold_rev Logic.all [u, v] (Logic.mk_implies (HOLogic.mk_Trueprop uvr,
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   799
            HOLogic.mk_Trueprop (mk_prem_concl rs' n udiscs uselss vdiscs vselss)));
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   800
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   801
        val concl =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   802
          HOLogic.mk_Trueprop (Library.foldr1 HOLogic.mk_conj
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   803
            (map3 (fn uvr => fn u => fn v => HOLogic.mk_imp (uvr, HOLogic.mk_eq (u, v)))
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   804
               uvrs us vs));
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   805
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   806
        fun mk_goal rs' =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   807
          Logic.list_implies (map8 (mk_prem rs') uvrs us vs ns udiscss uselsss vdiscss vselsss,
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   808
            concl);
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   809
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   810
        val goal = mk_goal rs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   811
        val strong_goal = mk_goal strong_rs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   812
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   813
        fun prove dtor_coinduct' goal =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   814
          Goal.prove_sorry lthy [] [] goal (fn {context = ctxt, ...} =>
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   815
            mk_coinduct_tac ctxt nesting_rel_eqs nn ns dtor_coinduct' pre_rel_defs dtor_ctors
51819
9df935196be9 use record instead of big tuple
blanchet
parents: 51816
diff changeset
   816
              exhausts ctr_defss disc_thmsss sel_thmsss)
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   817
          |> singleton (Proof_Context.export names_lthy lthy)
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   818
          |> Thm.close_derivation;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   819
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   820
        fun postproc nn thm =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   821
          Thm.permute_prems 0 nn
51828
67c6d6136915 whitespace tuning
blanchet
parents: 51827
diff changeset
   822
            (if nn = 1 then thm RS mp else funpow nn (fn thm => reassoc_conjs (thm RS mp_conj)) thm)
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   823
          |> Drule.zero_var_indexes
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   824
          |> `(conj_dests nn);
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   825
      in
51814
blanchet
parents: 51813
diff changeset
   826
        (postproc nn (prove dtor_coinduct goal), postproc nn (prove dtor_strong_induct strong_goal))
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   827
      end;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   828
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   829
    fun mk_coinduct_concls ms discs ctrs =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   830
      let
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   831
        fun mk_disc_concl disc = [name_of_disc disc];
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   832
        fun mk_ctr_concl 0 _ = []
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   833
          | mk_ctr_concl _ ctor = [name_of_ctr ctor];
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   834
        val disc_concls = map mk_disc_concl (fst (split_last discs)) @ [[]];
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   835
        val ctr_concls = map2 mk_ctr_concl ms ctrs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   836
      in
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   837
        flat (map2 append disc_concls ctr_concls)
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   838
      end;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   839
51816
5f1dec4297da use base names, not full names
blanchet
parents: 51815
diff changeset
   840
    val coinduct_cases = quasi_unambiguous_case_names (map (prefix EqN) fp_b_names);
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   841
    val coinduct_conclss =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   842
      map3 (quasi_unambiguous_case_names ooo mk_coinduct_concls) mss discss ctrss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   843
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   844
    fun mk_maybe_not pos = not pos ? HOLogic.mk_not;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   845
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   846
    val gunfolds = map (lists_bmoc pgss) unfolds;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   847
    val hcorecs = map (lists_bmoc phss) corecs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   848
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   849
    val (unfold_thmss, corec_thmss, safe_unfold_thmss, safe_corec_thmss) =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   850
      let
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   851
        fun mk_goal pfss c cps fcoiter n k ctr m cfs' =
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   852
          fold_rev (fold_rev Logic.all) ([c] :: pfss)
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   853
            (Logic.list_implies (seq_conds (HOLogic.mk_Trueprop oo mk_maybe_not) n k cps,
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   854
               mk_Trueprop_eq (fcoiter $ c, Term.list_comb (ctr, take m cfs'))));
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   855
51845
af9a208e6543 further enrich data structure
blanchet
parents: 51844
diff changeset
   856
        val mk_U = typ_subst_nonatomic (map2 pair Cs fpTs);
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   857
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   858
        fun intr_coiters fcoiters [] [cf] =
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   859
            let val T = fastype_of cf in
51855
fcdf213d332c more code rationalization
blanchet
parents: 51854
diff changeset
   860
              if exists_subtype_in Cs T then
fcdf213d332c more code rationalization
blanchet
parents: 51854
diff changeset
   861
                build_map lthy (indexify_fst Cs (K o nth fcoiters)) (T, mk_U T) $ cf
fcdf213d332c more code rationalization
blanchet
parents: 51854
diff changeset
   862
              else
fcdf213d332c more code rationalization
blanchet
parents: 51854
diff changeset
   863
                cf
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   864
            end
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   865
          | intr_coiters fcoiters [cq] [cf, cf'] =
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   866
            mk_If cq (intr_coiters fcoiters [] [cf]) (intr_coiters fcoiters [] [cf']);
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   867
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   868
        val crgsss = map2 (map2 (map2 (intr_coiters gunfolds))) crssss cgssss;
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   869
        val cshsss = map2 (map2 (map2 (intr_coiters hcorecs))) csssss chssss;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   870
51828
67c6d6136915 whitespace tuning
blanchet
parents: 51827
diff changeset
   871
        val unfold_goalss = map8 (map4 oooo mk_goal pgss) cs cpss gunfolds ns kss ctrss mss crgsss;
67c6d6136915 whitespace tuning
blanchet
parents: 51827
diff changeset
   872
        val corec_goalss = map8 (map4 oooo mk_goal phss) cs cpss hcorecs ns kss ctrss mss cshsss;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   873
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   874
        fun mk_map_if_distrib bnf =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   875
          let
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   876
            val mapx = map_of_bnf bnf;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   877
            val live = live_of_bnf bnf;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   878
            val ((Ts, T), U) = strip_typeN (live + 1) (fastype_of mapx) |>> split_last;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   879
            val fs = Variable.variant_frees lthy [mapx] (map (pair "f") Ts);
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   880
            val t = Term.list_comb (mapx, map (Var o apfst (rpair 0)) fs);
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   881
          in
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   882
            Drule.instantiate' (map (SOME o certifyT lthy) [U, T]) [SOME (certify lthy t)]
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   883
              @{thm if_distrib}
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   884
          end;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   885
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   886
        val nested_map_if_distribs = map mk_map_if_distrib nested_bnfs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   887
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   888
        val unfold_tacss =
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   889
          map3 (map oo mk_coiter_tac unfold_defs [] [] nesting_map_ids'' [])
51814
blanchet
parents: 51813
diff changeset
   890
            dtor_unfold_thms pre_map_defs ctr_defss;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   891
        val corec_tacss =
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   892
          map3 (map oo mk_coiter_tac corec_defs nested_map_comps'' nested_map_comp's
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   893
              (nested_map_ids'' @ nesting_map_ids'') nested_map_if_distribs)
51814
blanchet
parents: 51813
diff changeset
   894
            dtor_corec_thms pre_map_defs ctr_defss;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   895
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   896
        fun prove goal tac =
51815
efacb9b99865 tune signatures
blanchet
parents: 51814
diff changeset
   897
          Goal.prove_sorry lthy [] [] goal (tac o #context)
efacb9b99865 tune signatures
blanchet
parents: 51814
diff changeset
   898
          |> Thm.close_derivation;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   899
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   900
        val unfold_thmss = map2 (map2 prove) unfold_goalss unfold_tacss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   901
        val corec_thmss = map2 (map2 prove) corec_goalss corec_tacss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   902
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   903
        val filter_safesss =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   904
          map2 (map_filter (fn (safes, thm) => if forall I safes then SOME thm else NONE) oo
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   905
            curry (op ~~)) (map2 (map2 (map2 (member (op =)))) cgssss crgsss);
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   906
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   907
        val safe_unfold_thmss = filter_safesss unfold_thmss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   908
        val safe_corec_thmss = filter_safesss corec_thmss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   909
      in
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   910
        (unfold_thmss, corec_thmss, safe_unfold_thmss, safe_corec_thmss)
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   911
      end;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   912
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   913
    val (disc_unfold_iff_thmss, disc_corec_iff_thmss) =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   914
      let
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   915
        fun mk_goal c cps fcoiter n k disc =
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   916
          mk_Trueprop_eq (disc $ (fcoiter $ c),
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   917
            if n = 1 then @{const True}
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   918
            else Library.foldr1 HOLogic.mk_conj (seq_conds mk_maybe_not n k cps));
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   919
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   920
        val unfold_goalss = map6 (map2 oooo mk_goal) cs cpss gunfolds ns kss discss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   921
        val corec_goalss = map6 (map2 oooo mk_goal) cs cpss hcorecs ns kss discss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   922
51828
67c6d6136915 whitespace tuning
blanchet
parents: 51827
diff changeset
   923
        fun mk_case_split' cp = Drule.instantiate' [] [SOME (certify lthy cp)] @{thm case_split};
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   924
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   925
        val case_splitss' = map (map mk_case_split') cpss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   926
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   927
        val unfold_tacss =
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   928
          map3 (map oo mk_disc_coiter_iff_tac) case_splitss' unfold_thmss disc_thmsss;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   929
        val corec_tacss =
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   930
          map3 (map oo mk_disc_coiter_iff_tac) case_splitss' corec_thmss disc_thmsss;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   931
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   932
        fun prove goal tac =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   933
          Goal.prove_sorry lthy [] [] goal (tac o #context)
51829
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   934
          |> singleton (Proof_Context.export names_lthy lthy)
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   935
          |> Thm.close_derivation;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   936
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   937
        fun proves [_] [_] = []
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   938
          | proves goals tacs = map2 prove goals tacs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   939
      in
51828
67c6d6136915 whitespace tuning
blanchet
parents: 51827
diff changeset
   940
        (map2 proves unfold_goalss unfold_tacss, map2 proves corec_goalss corec_tacss)
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   941
      end;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   942
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   943
    val is_triv_discI = is_triv_implies orf is_concl_refl;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   944
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   945
    fun mk_disc_coiter_thms coiters discIs =
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   946
      map (op RS) (filter_out (is_triv_discI o snd) (coiters ~~ discIs));
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   947
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   948
    val disc_unfold_thmss = map2 mk_disc_coiter_thms unfold_thmss discIss;
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   949
    val disc_corec_thmss = map2 mk_disc_coiter_thms corec_thmss discIss;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   950
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   951
    fun mk_sel_coiter_thm coiter_thm sel sel_thm =
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   952
      let
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   953
        val (domT, ranT) = dest_funT (fastype_of sel);
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   954
        val arg_cong' =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   955
          Drule.instantiate' (map (SOME o certifyT lthy) [domT, ranT])
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   956
            [NONE, NONE, SOME (certify lthy sel)] arg_cong
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   957
          |> Thm.varifyT_global;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   958
        val sel_thm' = sel_thm RSN (2, trans);
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   959
      in
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   960
        coiter_thm RS arg_cong' RS sel_thm'
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   961
      end;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   962
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   963
    fun mk_sel_coiter_thms coiterss =
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   964
      map3 (map3 (map2 o mk_sel_coiter_thm)) coiterss selsss sel_thmsss |> map flat;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   965
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   966
    val sel_unfold_thmss = mk_sel_coiter_thms unfold_thmss;
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   967
    val sel_corec_thmss = mk_sel_coiter_thms corec_thmss;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   968
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   969
    val coinduct_consumes_attr = Attrib.internal (K (Rule_Cases.consumes nn));
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   970
    val coinduct_case_names_attr = Attrib.internal (K (Rule_Cases.case_names coinduct_cases));
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   971
    val coinduct_case_concl_attrs =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   972
      map2 (fn casex => fn concls =>
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   973
          Attrib.internal (K (Rule_Cases.case_conclusion (casex, concls))))
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   974
        coinduct_cases coinduct_conclss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   975
    val coinduct_case_attrs =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   976
      coinduct_consumes_attr :: coinduct_case_names_attr :: coinduct_case_concl_attrs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   977
  in
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   978
    ((coinduct_thm, coinduct_thms, strong_coinduct_thm, strong_coinduct_thms, coinduct_case_attrs),
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   979
     (unfold_thmss, corec_thmss, []),
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   980
     (safe_unfold_thmss, safe_corec_thmss),
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   981
     (disc_unfold_thmss, disc_corec_thmss, simp_attrs),
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   982
     (disc_unfold_iff_thmss, disc_corec_iff_thmss, simp_attrs),
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   983
     (sel_unfold_thmss, sel_corec_thmss, simp_attrs))
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   984
  end;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   985
51863
d77cf35c27ac tuning names
blanchet
parents: 51860
diff changeset
   986
fun define_co_datatypes prepare_constraint prepare_typ prepare_term lfp construct_fp
49633
5b5450bc544c compatibility option to use "rep_datatype"
blanchet
parents: 49622
diff changeset
   987
    (wrap_opts as (no_dests, rep_compat), specs) no_defs_lthy0 =
49112
4de4635d8f93 started work on sugared "(co)data" commands
blanchet
parents:
diff changeset
   988
  let
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   989
    (* TODO: sanity checks on arguments *)
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   990
49286
dde4967c9233 added "defaults" option
blanchet
parents: 49280
diff changeset
   991
    val _ = if not lfp andalso no_dests then error "Cannot define destructor-less codatatypes"
49278
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   992
      else ();
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   993
49633
5b5450bc544c compatibility option to use "rep_datatype"
blanchet
parents: 49622
diff changeset
   994
    fun qualify mandatory fp_b_name =
5b5450bc544c compatibility option to use "rep_datatype"
blanchet
parents: 49622
diff changeset
   995
      Binding.qualify mandatory fp_b_name o (rep_compat ? Binding.qualify false rep_compat_prefix);
5b5450bc544c compatibility option to use "rep_datatype"
blanchet
parents: 49622
diff changeset
   996
49367
blanchet
parents: 49366
diff changeset
   997
    val nn = length specs;
49361
cc1d39529dd1 derive induction via backward proof, to ensure that the premises are in the right order for constructors like "X x y x" where x and y are mutually recursive
blanchet
parents: 49342
diff changeset
   998
    val fp_bs = map type_binding_of specs;
49498
acc583e14167 tuned variable names
blanchet
parents: 49484
diff changeset
   999
    val fp_b_names = map Binding.name_of fp_bs;
acc583e14167 tuned variable names
blanchet
parents: 49484
diff changeset
  1000
    val fp_common_name = mk_common_name fp_b_names;
51758
55963309557b honor user-specified name for map function
blanchet
parents: 51757
diff changeset
  1001
    val map_bs = map map_binding_of specs;
51767
bbcdd8519253 honor user-specified name for relator + generalize syntax
blanchet
parents: 51766
diff changeset
  1002
    val rel_bs = map rel_binding_of specs;
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
  1003
51758
55963309557b honor user-specified name for map function
blanchet
parents: 51757
diff changeset
  1004
    fun prepare_type_arg (_, (ty, c)) =
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
  1005
      let val TFree (s, _) = prepare_typ no_defs_lthy0 ty in
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
  1006
        TFree (s, prepare_constraint no_defs_lthy0 c)
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
  1007
      end;
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
  1008
51758
55963309557b honor user-specified name for map function
blanchet
parents: 51757
diff changeset
  1009
    val Ass0 = map (map prepare_type_arg o type_args_named_constrained_of) specs;
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
  1010
    val unsorted_Ass0 = map (map (resort_tfree HOLogic.typeS)) Ass0;
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
  1011
    val unsorted_As = Library.foldr1 merge_type_args unsorted_Ass0;
51758
55963309557b honor user-specified name for map function
blanchet
parents: 51757
diff changeset
  1012
    val set_bss = map (map fst o type_args_named_constrained_of) specs;
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
  1013
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1014
    val (((Bs0, Cs), Xs), no_defs_lthy) =
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
  1015
      no_defs_lthy0
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
  1016
      |> fold (Variable.declare_typ o resort_tfree dummyS) unsorted_As
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1017
      |> mk_TFrees (length unsorted_As)
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1018
      ||>> mk_TFrees nn
51858
7a08fe1e19b1 added and moved library functions (used in primrec code)
blanchet
parents: 51857
diff changeset
  1019
      ||>> variant_tfrees fp_b_names;
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
  1020
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
  1021
    (* TODO: cleaner handling of fake contexts, without "background_theory" *)
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
  1022
    (*the "perhaps o try" below helps gracefully handles the case where the new type is defined in a
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
  1023
      locale and shadows an existing global type*)
51768
d2a236b10796 proper error generated for wrong mixfix
blanchet
parents: 51767
diff changeset
  1024
51769
5c657ca97d99 simplified code -- no need for two attempts, the error we get from mixfix the first time is good (and better to get than a parse error in the specification because the user tries to use a mixfix that silently failed)
blanchet
parents: 51768
diff changeset
  1025
    fun add_fake_type spec =
51768
d2a236b10796 proper error generated for wrong mixfix
blanchet
parents: 51767
diff changeset
  1026
      Sign.add_type no_defs_lthy (type_binding_of spec,
51769
5c657ca97d99 simplified code -- no need for two attempts, the error we get from mixfix the first time is good (and better to get than a parse error in the specification because the user tries to use a mixfix that silently failed)
blanchet
parents: 51768
diff changeset
  1027
        length (type_args_named_constrained_of spec), mixfix_of spec);
51768
d2a236b10796 proper error generated for wrong mixfix
blanchet
parents: 51767
diff changeset
  1028
51769
5c657ca97d99 simplified code -- no need for two attempts, the error we get from mixfix the first time is good (and better to get than a parse error in the specification because the user tries to use a mixfix that silently failed)
blanchet
parents: 51768
diff changeset
  1029
    val fake_thy = Theory.copy #> fold add_fake_type specs;
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
  1030
    val fake_lthy = Proof_Context.background_theory fake_thy no_defs_lthy;
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
  1031
49182
b8517107ffc5 read the real types off the constant types, rather than using the fake parser types (second step of sugar localization)
blanchet
parents: 49181
diff changeset
  1032
    fun mk_fake_T b =
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
  1033
      Type (fst (Term.dest_Type (Proof_Context.read_type_name fake_lthy true (Binding.name_of b))),
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
  1034
        unsorted_As);
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
  1035
49302
f5bd87aac224 added optional qualifiers for constructors and destructors, similarly to the old package
blanchet
parents: 49300
diff changeset
  1036
    val fake_Ts = map mk_fake_T fp_bs;
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
  1037
49181
blanchet
parents: 49180
diff changeset
  1038
    val mixfixes = map mixfix_of specs;
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
  1039
49302
f5bd87aac224 added optional qualifiers for constructors and destructors, similarly to the old package
blanchet
parents: 49300
diff changeset
  1040
    val _ = (case duplicates Binding.eq_name fp_bs of [] => ()
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
  1041
      | b :: _ => error ("Duplicate type name declaration " ^ quote (Binding.name_of b)));
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
  1042
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
  1043
    val ctr_specss = map ctr_specs_of specs;
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
  1044
49336
blanchet
parents: 49330
diff changeset
  1045
    val disc_bindingss = map (map disc_of) ctr_specss;
blanchet
parents: 49330
diff changeset
  1046
    val ctr_bindingss =
49633
5b5450bc544c compatibility option to use "rep_datatype"
blanchet
parents: 49622
diff changeset
  1047
      map2 (fn fp_b_name => map (qualify false fp_b_name o ctr_of)) fp_b_names ctr_specss;
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
  1048
    val ctr_argsss = map (map args_of) ctr_specss;
49181
blanchet
parents: 49180
diff changeset
  1049
    val ctr_mixfixess = map (map ctr_mixfix_of) ctr_specss;
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
  1050
49336
blanchet
parents: 49330
diff changeset
  1051
    val sel_bindingsss = map (map (map fst)) ctr_argsss;
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
  1052
    val fake_ctr_Tsss0 = map (map (map (prepare_typ fake_lthy o snd))) ctr_argsss;
49286
dde4967c9233 added "defaults" option
blanchet
parents: 49280
diff changeset
  1053
    val raw_sel_defaultsss = map (map defaults_of) ctr_specss;
dde4967c9233 added "defaults" option
blanchet
parents: 49280
diff changeset
  1054
49308
6190b701e4f4 reorganized dependencies so that the sugar does not depend on GFP -- this will be essential for bootstrapping
blanchet
parents: 49302
diff changeset
  1055
    val (As :: _) :: fake_ctr_Tsss =
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
  1056
      burrow (burrow (Syntax.check_typs fake_lthy)) (Ass0 :: fake_ctr_Tsss0);
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
  1057
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
  1058
    val _ = (case duplicates (op =) unsorted_As of [] => ()
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
  1059
      | A :: _ => error ("Duplicate type parameter " ^
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
  1060
          quote (Syntax.string_of_typ no_defs_lthy A)));
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
  1061
49183
0cc46e2dee7e careful about constructor types w.r.t. fake context (third step of localization)
blanchet
parents: 49182
diff changeset
  1062
    val rhs_As' = fold (fold (fold Term.add_tfreesT)) fake_ctr_Tsss [];
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
  1063
    val _ = (case subtract (op =) (map dest_TFree As) rhs_As' of
49165
c6ccaf6df93c check type variables on rhs
blanchet
parents: 49161
diff changeset
  1064
        [] => ()
49342
8ea4bad49ed5 rough and ready induction
blanchet
parents: 49338
diff changeset
  1065
      | A' :: _ => error ("Extra type variable on right-hand side: " ^
49204
0b735fb2602e generate iter/rec goals
blanchet
parents: 49203
diff changeset
  1066
          quote (Syntax.string_of_typ no_defs_lthy (TFree A'))));
49165
c6ccaf6df93c check type variables on rhs
blanchet
parents: 49161
diff changeset
  1067
49591
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
  1068
    fun eq_fpT_check (T as Type (s, Us)) (Type (s', Us')) =
49146
e32b1f748854 added a check
blanchet
parents: 49135
diff changeset
  1069
        s = s' andalso (Us = Us' orelse error ("Illegal occurrence of recursive type " ^
e32b1f748854 added a check
blanchet
parents: 49135
diff changeset
  1070
          quote (Syntax.string_of_typ fake_lthy T)))
49591
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
  1071
      | eq_fpT_check _ _ = false;
49146
e32b1f748854 added a check
blanchet
parents: 49135
diff changeset
  1072
49204
0b735fb2602e generate iter/rec goals
blanchet
parents: 49203
diff changeset
  1073
    fun freeze_fp (T as Type (s, Us)) =
49591
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
  1074
        (case find_index (eq_fpT_check T) fake_Ts of
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
  1075
          ~1 => Type (s, map freeze_fp Us)
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
  1076
        | kk => nth Xs kk)
49204
0b735fb2602e generate iter/rec goals
blanchet
parents: 49203
diff changeset
  1077
      | freeze_fp T = T;
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
  1078
49536
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
  1079
    val ctr_TsssXs = map (map (map freeze_fp)) fake_ctr_Tsss;
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
  1080
    val ctr_sum_prod_TsXs = map (mk_sumTN_balanced o map HOLogic.mk_tupleT) ctr_TsssXs;
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
  1081
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
  1082
    val fp_eqs =
49536
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
  1083
      map dest_TFree Xs ~~ map (Term.typ_subst_atomic (As ~~ unsorted_As)) ctr_sum_prod_TsXs;
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
  1084
51839
5c552de1d8d1 added constructors to data structure
blanchet
parents: 51838
diff changeset
  1085
    val (pre_bnfs, (fp_res as {bnfs = fp_bnfs as any_fp_bnf :: _, ctors = ctors0, dtors = dtors0,
51869
d58cd7673b04 renamings
blanchet
parents: 51868
diff changeset
  1086
           un_folds = fp_folds0, co_recs = fp_recs0, co_induct = fp_induct,
d58cd7673b04 renamings
blanchet
parents: 51868
diff changeset
  1087
           strong_co_induct = fp_strong_induct, dtor_ctors, ctor_dtors, ctor_injects,
d58cd7673b04 renamings
blanchet
parents: 51868
diff changeset
  1088
           map_thms = fp_map_thms, set_thmss = fp_set_thmss, rel_thms = fp_rel_thms,
d58cd7673b04 renamings
blanchet
parents: 51868
diff changeset
  1089
           un_fold_thms = fp_fold_thms, co_rec_thms = fp_rec_thms, ...}, lthy)) =
51868
4ab609682752 code tuning
blanchet
parents: 51867
diff changeset
  1090
      fp_bnf (construct_fp mixfixes map_bs rel_bs set_bss) fp_bs (map dest_TFree unsorted_As) fp_eqs
4ab609682752 code tuning
blanchet
parents: 51867
diff changeset
  1091
        no_defs_lthy0;
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1092
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1093
    val timer = time (Timer.startRealTimer ());
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
  1094
51907
882d850aa3ca export one more function
blanchet
parents: 51906
diff changeset
  1095
    val nesting_bnfs = nesty_bnfs lthy ctr_TsssXs As;
882d850aa3ca export one more function
blanchet
parents: 51906
diff changeset
  1096
    val nested_bnfs = nesty_bnfs lthy ctr_TsssXs Xs;
49226
510c6d4a73ec fixed and enabled iterator/recursor theorems
blanchet
parents: 49224
diff changeset
  1097
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1098
    val pre_map_defs = map map_def_of_bnf pre_bnfs;
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1099
    val pre_set_defss = map set_defs_of_bnf pre_bnfs;
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1100
    val pre_rel_defs = map rel_def_of_bnf pre_bnfs;
51830
blanchet
parents: 51829
diff changeset
  1101
    val nesting_set_map's = maps set_map'_of_bnf nesting_bnfs;
51766
f19a4d0ab1bf renamed "set_natural" to "set_map", reflecting {Bl,Po,Tr} concensus
blanchet
parents: 51758
diff changeset
  1102
    val nested_set_map's = maps set_map'_of_bnf nested_bnfs;
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1103
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1104
    val live = live_of_bnf any_fp_bnf;
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1105
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1106
    val Bs =
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1107
      map3 (fn alive => fn A as TFree (_, S) => fn B => if alive then resort_tfree S B else A)
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1108
        (liveness_of_fp_bnf (length As) any_fp_bnf) As Bs0;
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1109
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1110
    val B_ify = Term.typ_subst_atomic (As ~~ Bs);
49167
68623861e0f2 print timing information
blanchet
parents: 49165
diff changeset
  1111
49501
acc9635a644a renamed "fld"/"unf" to "ctor"/"dtor"
blanchet
parents: 49498
diff changeset
  1112
    val ctors = map (mk_ctor As) ctors0;
acc9635a644a renamed "fld"/"unf" to "ctor"/"dtor"
blanchet
parents: 49498
diff changeset
  1113
    val dtors = map (mk_dtor As) dtors0;
49124
968e1b7de057 more work on FP sugar
blanchet
parents: 49123
diff changeset
  1114
49501
acc9635a644a renamed "fld"/"unf" to "ctor"/"dtor"
blanchet
parents: 49498
diff changeset
  1115
    val fpTs = map (domain_type o fastype_of) dtors;
49362
1271aca16aed make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents: 49361
diff changeset
  1116
51780
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
  1117
    fun massage_simple_notes base =
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
  1118
      filter_out (null o #2)
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
  1119
      #> map (fn (thmN, thms, attrs) =>
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
  1120
        ((qualify true base (Binding.name thmN), attrs), [(thms, [])]));
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
  1121
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
  1122
    val massage_multi_notes =
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
  1123
      maps (fn (thmN, thmss, attrs) =>
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
  1124
        if forall null thmss then
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
  1125
          []
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
  1126
        else
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
  1127
          map3 (fn fp_b_name => fn Type (T_name, _) => fn thms =>
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
  1128
            ((qualify true fp_b_name (Binding.name thmN), attrs T_name),
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
  1129
             [(thms, [])])) fp_b_names fpTs thmss);
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
  1130
49536
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
  1131
    val ctr_Tsss = map (map (map (Term.typ_subst_atomic (Xs ~~ fpTs)))) ctr_TsssXs;
49203
262ab1ac38b9 repaired constant types
blanchet
parents: 49202
diff changeset
  1132
    val ns = map length ctr_Tsss;
49212
ca59649170b0 more sugar on codatatypes
blanchet
parents: 49211
diff changeset
  1133
    val kss = map (fn n => 1 upto n) ns;
49203
262ab1ac38b9 repaired constant types
blanchet
parents: 49202
diff changeset
  1134
    val mss = map (map length) ctr_Tsss;
262ab1ac38b9 repaired constant types
blanchet
parents: 49202
diff changeset
  1135
51903
126f8d11f873 move function to library
blanchet
parents: 51902
diff changeset
  1136
    val ((fp_folds, fp_recs, fold_rec_args_types, unfold_corec_args_types), lthy) =
51912
a6b963bc46f0 removed dead argument
blanchet
parents: 51911
diff changeset
  1137
      mk_un_fold_co_rec_prelims lfp fpTs Cs ns mss fp_folds0 fp_recs0 lthy;
49210
656fb50d33f0 define coiterators
blanchet
parents: 49209
diff changeset
  1138
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1139
    fun define_ctrs_case_for_type (((((((((((((((((((((((((fp_bnf, fp_b), fpT), C), ctor), dtor),
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1140
            fp_fold), fp_rec), ctor_dtor), dtor_ctor), ctor_inject), pre_map_def), pre_set_defs),
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1141
          pre_rel_def), fp_map_thm), fp_set_thms), fp_rel_thm), n), ks), ms), ctr_bindings),
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1142
        ctr_mixfixes), ctr_Tss), disc_bindings), sel_bindingss), raw_sel_defaultss) no_defs_lthy =
49176
6d29d2db5f88 construct high-level iterator RHS
blanchet
parents: 49169
diff changeset
  1143
      let
49498
acc583e14167 tuned variable names
blanchet
parents: 49484
diff changeset
  1144
        val fp_b_name = Binding.name_of fp_b;
acc583e14167 tuned variable names
blanchet
parents: 49484
diff changeset
  1145
49501
acc9635a644a renamed "fld"/"unf" to "ctor"/"dtor"
blanchet
parents: 49498
diff changeset
  1146
        val dtorT = domain_type (fastype_of ctor);
49210
656fb50d33f0 define coiterators
blanchet
parents: 49209
diff changeset
  1147
        val ctr_prod_Ts = map HOLogic.mk_tupleT ctr_Tss;
49255
2ecc533d6697 use balanced sums for constructors (to gracefully handle 100 constructors or more)
blanchet
parents: 49254
diff changeset
  1148
        val ctr_sum_prod_T = mk_sumTN_balanced ctr_prod_Ts;
49134
846264f80f16 optionally provide extra dead variables to the FP constructions
blanchet
parents: 49130
diff changeset
  1149
        val case_Ts = map (fn Ts => Ts ---> C) ctr_Tss;
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
  1150
49593
c958f282b382 get rid of shaky "Thm.generalize"
blanchet
parents: 49592
diff changeset
  1151
        val (((((w, fs), xss), yss), u'), names_lthy) =
49204
0b735fb2602e generate iter/rec goals
blanchet
parents: 49203
diff changeset
  1152
          no_defs_lthy
49501
acc9635a644a renamed "fld"/"unf" to "ctor"/"dtor"
blanchet
parents: 49498
diff changeset
  1153
          |> yield_singleton (mk_Frees "w") dtorT
49176
6d29d2db5f88 construct high-level iterator RHS
blanchet
parents: 49169
diff changeset
  1154
          ||>> mk_Frees "f" case_Ts
49370
be6e749fd003 fixed variable exporting problem
blanchet
parents: 49368
diff changeset
  1155
          ||>> mk_Freess "x" ctr_Tss
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1156
          ||>> mk_Freess "y" (map (map B_ify) ctr_Tss)
49498
acc583e14167 tuned variable names
blanchet
parents: 49484
diff changeset
  1157
          ||>> yield_singleton Variable.variant_fixes fp_b_name;
49370
be6e749fd003 fixed variable exporting problem
blanchet
parents: 49368
diff changeset
  1158
49498
acc583e14167 tuned variable names
blanchet
parents: 49484
diff changeset
  1159
        val u = Free (u', fpT);
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
  1160
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1161
        val tuple_xs = map HOLogic.mk_tuple xss;
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1162
        val tuple_ys = map HOLogic.mk_tuple yss;
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1163
49129
b5413cb7d860 define "case" constant
blanchet
parents: 49127
diff changeset
  1164
        val ctr_rhss =
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1165
          map3 (fn k => fn xs => fn tuple_x => fold_rev Term.lambda xs (ctor $
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1166
            mk_InN_balanced ctr_sum_prod_T n tuple_x k)) ks xss tuple_xs;
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
  1167
49633
5b5450bc544c compatibility option to use "rep_datatype"
blanchet
parents: 49622
diff changeset
  1168
        val case_binding = qualify false fp_b_name (Binding.suffix_name ("_" ^ caseN) fp_b);
49129
b5413cb7d860 define "case" constant
blanchet
parents: 49127
diff changeset
  1169
49134
846264f80f16 optionally provide extra dead variables to the FP constructions
blanchet
parents: 49130
diff changeset
  1170
        val case_rhs =
49498
acc583e14167 tuned variable names
blanchet
parents: 49484
diff changeset
  1171
          fold_rev Term.lambda (fs @ [u])
49501
acc9635a644a renamed "fld"/"unf" to "ctor"/"dtor"
blanchet
parents: 49498
diff changeset
  1172
            (mk_sum_caseN_balanced (map2 mk_uncurried_fun fs xss) $ (dtor $ u));
49129
b5413cb7d860 define "case" constant
blanchet
parents: 49127
diff changeset
  1173
49201
blanchet
parents: 49200
diff changeset
  1174
        val ((raw_case :: raw_ctrs, raw_case_def :: raw_ctr_defs), (lthy', lthy)) = no_defs_lthy
49169
937a0fadddfb honor mixfix specifications
blanchet
parents: 49167
diff changeset
  1175
          |> apfst split_list o fold_map3 (fn b => fn mx => fn rhs =>
49302
f5bd87aac224 added optional qualifiers for constructors and destructors, similarly to the old package
blanchet
parents: 49300
diff changeset
  1176
              Local_Theory.define ((b, mx), ((Thm.def_binding b, []), rhs)) #>> apsnd snd)
49336
blanchet
parents: 49330
diff changeset
  1177
            (case_binding :: ctr_bindings) (NoSyn :: ctr_mixfixes) (case_rhs :: ctr_rhss)
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
  1178
          ||> `Local_Theory.restore;
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
  1179
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
  1180
        val phi = Proof_Context.export_morphism lthy lthy';
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
  1181
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
  1182
        val ctr_defs = map (Morphism.thm phi) raw_ctr_defs;
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1183
        val ctr_defs' =
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1184
          map2 (fn m => fn def => mk_unabs_def m (def RS meta_eq_to_obj_eq)) ms ctr_defs;
49130
3c26e17b2849 implemented "mk_case_tac" -- and got rid of "cheat_tac"
blanchet
parents: 49129
diff changeset
  1185
        val case_def = Morphism.thm phi raw_case_def;
3c26e17b2849 implemented "mk_case_tac" -- and got rid of "cheat_tac"
blanchet
parents: 49129
diff changeset
  1186
49203
262ab1ac38b9 repaired constant types
blanchet
parents: 49202
diff changeset
  1187
        val ctrs0 = map (Morphism.term phi) raw_ctrs;
262ab1ac38b9 repaired constant types
blanchet
parents: 49202
diff changeset
  1188
        val casex0 = Morphism.term phi raw_case;
262ab1ac38b9 repaired constant types
blanchet
parents: 49202
diff changeset
  1189
262ab1ac38b9 repaired constant types
blanchet
parents: 49202
diff changeset
  1190
        val ctrs = map (mk_ctr As) ctrs0;
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
  1191
51897
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
  1192
        fun wrap_ctrs lthy =
49123
263b0e330d8b more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents: 49121
diff changeset
  1193
          let
50170
8155e280f239 made SML/NJ happier
traytel
parents: 49693
diff changeset
  1194
            fun exhaust_tac {context = ctxt, prems = _} =
49135
de13b454fa31 fixed some type issues in sugar "exhaust_tac"
blanchet
parents: 49134
diff changeset
  1195
              let
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1196
                val ctor_iff_dtor_thm =
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1197
                  let
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1198
                    val goal =
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1199
                      fold_rev Logic.all [w, u]
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1200
                        (mk_Trueprop_eq (HOLogic.mk_eq (u, ctor $ w), HOLogic.mk_eq (dtor $ u, w)));
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1201
                  in
51551
88d1d19fb74f tuned signature and module arrangement;
wenzelm
parents: 51380
diff changeset
  1202
                    Goal.prove_sorry lthy [] [] goal (fn {context = ctxt, ...} =>
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1203
                      mk_ctor_iff_dtor_tac ctxt (map (SOME o certifyT lthy) [dtorT, fpT])
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1204
                        (certify lthy ctor) (certify lthy dtor) ctor_dtor dtor_ctor)
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1205
                    |> Thm.close_derivation
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1206
                    |> Morphism.thm phi
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1207
                  end;
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1208
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1209
                val sumEN_thm' =
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1210
                  unfold_thms lthy @{thms all_unit_eq}
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1211
                    (Drule.instantiate' (map (SOME o certifyT lthy) ctr_prod_Ts) []
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1212
                       (mk_sumEN_balanced n))
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1213
                  |> Morphism.thm phi;
49135
de13b454fa31 fixed some type issues in sugar "exhaust_tac"
blanchet
parents: 49134
diff changeset
  1214
              in
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1215
                mk_exhaust_tac ctxt n ctr_defs ctor_iff_dtor_thm sumEN_thm'
49135
de13b454fa31 fixed some type issues in sugar "exhaust_tac"
blanchet
parents: 49134
diff changeset
  1216
              end;
de13b454fa31 fixed some type issues in sugar "exhaust_tac"
blanchet
parents: 49134
diff changeset
  1217
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1218
            val inject_tacss =
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1219
              map2 (fn 0 => K [] | _ => fn ctr_def => [fn {context = ctxt, ...} =>
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1220
                  mk_inject_tac ctxt ctr_def ctor_inject]) ms ctr_defs;
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1221
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1222
            val half_distinct_tacss =
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1223
              map (map (fn (def, def') => fn {context = ctxt, ...} =>
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1224
                mk_half_distinct_tac ctxt ctor_inject [def, def'])) (mk_half_pairss (`I ctr_defs));
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1225
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1226
            val case_tacs =
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1227
              map3 (fn k => fn m => fn ctr_def => fn {context = ctxt, ...} =>
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1228
                mk_case_tac ctxt n k m case_def ctr_def dtor_ctor) ks ms ctr_defs;
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1229
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1230
            val tacss = [exhaust_tac] :: inject_tacss @ half_distinct_tacss @ [case_tacs];
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1231
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1232
            val sel_defaultss = map (map (apsnd (prepare_term lthy))) raw_sel_defaultss
49123
263b0e330d8b more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents: 49121
diff changeset
  1233
          in
51781
0504e286d66d renamed "wrap_data" to "wrap_free_constructors"
blanchet
parents: 51780
diff changeset
  1234
            wrap_free_constructors tacss (((wrap_opts, ctrs0), casex0), (disc_bindings,
0504e286d66d renamed "wrap_data" to "wrap_free_constructors"
blanchet
parents: 51780
diff changeset
  1235
              (sel_bindingss, sel_defaultss))) lthy
49123
263b0e330d8b more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents: 49121
diff changeset
  1236
          end;
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
  1237
51840
b304fb6c5ef5 renamed records
blanchet
parents: 51839
diff changeset
  1238
        fun derive_maps_sets_rels (ctr_sugar, lthy) =
51835
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1239
          if live = 0 then
51840
b304fb6c5ef5 renamed records
blanchet
parents: 51839
diff changeset
  1240
            ((([], [], [], []), ctr_sugar), lthy)
51835
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1241
          else
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1242
            let
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1243
              val rel_flip = rel_flip_of_bnf fp_bnf;
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1244
              val nones = replicate live NONE;
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1245
51835
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1246
              val ctor_cong =
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1247
                if lfp then
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1248
                  Drule.dummy_thm
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1249
                else
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1250
                  let val ctor' = mk_ctor Bs ctor in
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1251
                    cterm_instantiate_pos [NONE, NONE, SOME (certify lthy ctor')] arg_cong
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1252
                  end;
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1253
51835
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1254
              fun mk_cIn ify =
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1255
                certify lthy o (not lfp ? curry (op $) (map_types ify ctor)) oo
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1256
                mk_InN_balanced (ify ctr_sum_prod_T) n;
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1257
51835
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1258
              val cxIns = map2 (mk_cIn I) tuple_xs ks;
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1259
              val cyIns = map2 (mk_cIn B_ify) tuple_ys ks;
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1260
51835
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1261
              fun mk_map_thm ctr_def' cxIn =
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1262
                fold_thms lthy [ctr_def']
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1263
                  (unfold_thms lthy (pre_map_def ::
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1264
                       (if lfp then [] else [ctor_dtor, dtor_ctor]) @ sum_prod_thms_map)
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1265
                     (cterm_instantiate_pos (nones @ [SOME cxIn])
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1266
                        (if lfp then fp_map_thm else fp_map_thm RS ctor_cong)))
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1267
                |> singleton (Proof_Context.export names_lthy no_defs_lthy);
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1268
51835
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1269
              fun mk_set_thm fp_set_thm ctr_def' cxIn =
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1270
                fold_thms lthy [ctr_def']
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1271
                  (unfold_thms lthy (pre_set_defs @ nested_set_map's @ nesting_set_map's @
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1272
                       (if lfp then [] else [dtor_ctor]) @ sum_prod_thms_set)
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1273
                     (cterm_instantiate_pos [SOME cxIn] fp_set_thm))
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1274
                |> singleton (Proof_Context.export names_lthy no_defs_lthy);
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1275
51835
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1276
              fun mk_set_thms fp_set_thm = map2 (mk_set_thm fp_set_thm) ctr_defs' cxIns;
49127
f7326a0d7f19 implemented "mk_half_distinct_tac"
blanchet
parents: 49126
diff changeset
  1277
51835
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1278
              val map_thms = map2 mk_map_thm ctr_defs' cxIns;
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1279
              val set_thmss = map mk_set_thms fp_set_thms;
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1280
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1281
              val rel_infos = (ctr_defs' ~~ cxIns, ctr_defs' ~~ cyIns);
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1282
51835
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1283
              fun mk_rel_thm postproc ctr_defs' cxIn cyIn =
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1284
                fold_thms lthy ctr_defs'
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1285
                   (unfold_thms lthy (@{thm Inl_Inr_False} :: pre_rel_def ::
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1286
                        (if lfp then [] else [dtor_ctor]) @ sum_prod_thms_rel)
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1287
                      (cterm_instantiate_pos (nones @ [SOME cxIn, SOME cyIn]) fp_rel_thm))
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1288
                |> postproc
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1289
                |> singleton (Proof_Context.export names_lthy no_defs_lthy);
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1290
51835
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1291
              fun mk_rel_inject_thm ((ctr_def', cxIn), (_, cyIn)) =
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1292
                mk_rel_thm (unfold_thms lthy @{thms eq_sym_Unity_conv}) [ctr_def'] cxIn cyIn;
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1293
51835
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1294
              val rel_inject_thms = map mk_rel_inject_thm (op ~~ rel_infos);
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1295
51835
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1296
              fun mk_half_rel_distinct_thm ((xctr_def', cxIn), (yctr_def', cyIn)) =
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1297
                mk_rel_thm (fn thm => thm RS @{thm eq_False[THEN iffD1]}) [xctr_def', yctr_def']
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1298
                  cxIn cyIn;
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
  1299
51835
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1300
              fun mk_other_half_rel_distinct_thm thm =
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1301
                flip_rels lthy live thm
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1302
                RS (rel_flip RS sym RS @{thm arg_cong[of _ _ Not]} RS iffD2);
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1303
51835
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1304
              val half_rel_distinct_thmss =
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1305
                map (map mk_half_rel_distinct_thm) (mk_half_pairss rel_infos);
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1306
              val other_half_rel_distinct_thmss =
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1307
                map (map mk_other_half_rel_distinct_thm) half_rel_distinct_thmss;
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1308
              val (rel_distinct_thms, _) =
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1309
                join_halves n half_rel_distinct_thmss other_half_rel_distinct_thmss;
49134
846264f80f16 optionally provide extra dead variables to the FP constructions
blanchet
parents: 49130
diff changeset
  1310
51835
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1311
              val notes =
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1312
                [(mapN, map_thms, code_simp_attrs),
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1313
                 (rel_distinctN, rel_distinct_thms, code_simp_attrs),
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1314
                 (rel_injectN, rel_inject_thms, code_simp_attrs),
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1315
                 (setsN, flat set_thmss, code_simp_attrs)]
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1316
                |> massage_simple_notes fp_b_name;
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1317
            in
51840
b304fb6c5ef5 renamed records
blanchet
parents: 51839
diff changeset
  1318
              (((map_thms, rel_inject_thms, rel_distinct_thms, set_thmss), ctr_sugar),
51835
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1319
               lthy |> Local_Theory.notes notes |> snd)
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1320
            end;
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1321
51897
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
  1322
        fun mk_binding suf = qualify false fp_b_name (Binding.suffix_name ("_" ^ suf) fp_b);
49287
ebe2a5cec4bf allow defaults for one datatype to involve the constructor of another one in the mutually recursive case
blanchet
parents: 49286
diff changeset
  1323
51883
blanchet
parents: 51869
diff changeset
  1324
        fun massage_res (((maps_sets_rels, ctr_sugar), co_iter_res), lthy) =
blanchet
parents: 51869
diff changeset
  1325
          (((maps_sets_rels, (ctrs, xss, ctr_defs, ctr_sugar)), co_iter_res), lthy);
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
  1326
      in
51897
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
  1327
        (wrap_ctrs
51835
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1328
         #> derive_maps_sets_rels
51903
126f8d11f873 move function to library
blanchet
parents: 51902
diff changeset
  1329
         ##>> (if lfp then define_fold_rec (the fold_rec_args_types)
52172
1b3f907caf61 killed dead argument
blanchet
parents: 52171
diff changeset
  1330
           else define_unfold_corec (the unfold_corec_args_types)) mk_binding fpTs Cs fp_fold fp_rec
51835
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1331
         #> massage_res, lthy')
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
  1332
      end;
49167
68623861e0f2 print timing information
blanchet
parents: 49165
diff changeset
  1333
51835
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1334
    fun wrap_types_etc (wrap_types_etcs, lthy) =
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1335
      fold_map I wrap_types_etcs lthy
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1336
      |>> apsnd split_list4 o apfst (apsnd split_list4 o apfst split_list4 o split_list)
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1337
        o split_list;
49226
510c6d4a73ec fixed and enabled iterator/recursor theorems
blanchet
parents: 49224
diff changeset
  1338
49479
504f0a38f608 added "simp"s to coiter/corec theorems + export under "simps" name
blanchet
parents: 49478
diff changeset
  1339
    val mk_simp_thmss =
51857
17e7f00563fb tuned names -- co_ and un_ with underscore are to be understood as (co) and (un)
blanchet
parents: 51856
diff changeset
  1340
      map7 (fn {injects, distincts, case_thms, ...} => fn un_folds => fn co_recs =>
51835
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1341
        fn mapsx => fn rel_injects => fn rel_distincts => fn setss =>
51857
17e7f00563fb tuned names -- co_ and un_ with underscore are to be understood as (co) and (un)
blanchet
parents: 51856
diff changeset
  1342
          injects @ distincts @ case_thms @ co_recs @ un_folds @ mapsx @ rel_injects
51835
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1343
          @ rel_distincts @ flat setss);
49479
504f0a38f608 added "simp"s to coiter/corec theorems + export under "simps" name
blanchet
parents: 49478
diff changeset
  1344
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
  1345
    fun derive_and_note_induct_fold_rec_thms_for_types
51840
b304fb6c5ef5 renamed records
blanchet
parents: 51839
diff changeset
  1346
        ((((mapsx, rel_injects, rel_distincts, setss), (ctrss, _, ctr_defss, ctr_sugars)),
51835
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1347
          (folds, recs, fold_defs, rec_defs)), lthy) =
49202
f493cd25737f some work towards iterator and recursor properties
blanchet
parents: 49201
diff changeset
  1348
      let
51833
3be0a5c6dc9e comment tuning
blanchet
parents: 51832
diff changeset
  1349
        val ((induct_thm, induct_thms, induct_attrs), (fold_thmss, fold_attrs),
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
  1350
             (rec_thmss, rec_attrs)) =
52171
blanchet
parents: 52170
diff changeset
  1351
          derive_induct_fold_rec_thms_for_types pre_bnfs fp_folds fp_recs fp_induct fp_fold_thms
51912
a6b963bc46f0 removed dead argument
blanchet
parents: 51911
diff changeset
  1352
            fp_rec_thms nesting_bnfs nested_bnfs fpTs Cs ctrss ctr_defss folds recs fold_defs
51827
836257faaad5 tuned signature
blanchet
parents: 51824
diff changeset
  1353
            rec_defs lthy;
49201
blanchet
parents: 49200
diff changeset
  1354
51830
blanchet
parents: 51829
diff changeset
  1355
        val induct_type_attr = Attrib.internal o K o Induct.induct_type;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
  1356
51835
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1357
        val simp_thmss =
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
  1358
          mk_simp_thmss ctr_sugars fold_thmss rec_thmss mapsx rel_injects rel_distincts setss;
49438
5bc80d96241e group "simps" together
blanchet
parents: 49437
diff changeset
  1359
49337
538687a77075 set up things for (co)induction sugar
blanchet
parents: 49336
diff changeset
  1360
        val common_notes =
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
  1361
          (if nn > 1 then [(inductN, [induct_thm], induct_attrs)] else [])
51780
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
  1362
          |> massage_simple_notes fp_common_name;
49337
538687a77075 set up things for (co)induction sugar
blanchet
parents: 49336
diff changeset
  1363
49226
510c6d4a73ec fixed and enabled iterator/recursor theorems
blanchet
parents: 49224
diff changeset
  1364
        val notes =
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
  1365
          [(foldN, fold_thmss, K fold_attrs),
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
  1366
           (inductN, map single induct_thms, fn T_name => induct_attrs @ [induct_type_attr T_name]),
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
  1367
           (recN, rec_thmss, K rec_attrs),
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1368
           (simpsN, simp_thmss, K [])]
51780
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
  1369
          |> massage_multi_notes;
49202
f493cd25737f some work towards iterator and recursor properties
blanchet
parents: 49201
diff changeset
  1370
      in
51824
27d073b0876c register all (co)datatypes in local data
blanchet
parents: 51823
diff changeset
  1371
        lthy
27d073b0876c register all (co)datatypes in local data
blanchet
parents: 51823
diff changeset
  1372
        |> Local_Theory.notes (common_notes @ notes) |> snd
51906
38dcb3a6dfcc added field to record
blanchet
parents: 51905
diff changeset
  1373
        |> register_fp_sugars true pre_bnfs fp_res ctr_defss ctr_sugars folds recs induct_thm
38dcb3a6dfcc added field to record
blanchet
parents: 51905
diff changeset
  1374
          induct_thm fold_thmss rec_thmss
49202
f493cd25737f some work towards iterator and recursor properties
blanchet
parents: 49201
diff changeset
  1375
      end;
f493cd25737f some work towards iterator and recursor properties
blanchet
parents: 49201
diff changeset
  1376
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
  1377
    fun derive_and_note_coinduct_unfold_corec_thms_for_types
51859
09d24ea3f140 rationalized data structure
blanchet
parents: 51858
diff changeset
  1378
        ((((mapsx, rel_injects, rel_distincts, setss), (_, _, ctr_defss, ctr_sugars)),
51835
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1379
          (unfolds, corecs, unfold_defs, corec_defs)), lthy) =
49212
ca59649170b0 more sugar on codatatypes
blanchet
parents: 49211
diff changeset
  1380
      let
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
  1381
        val ((coinduct_thm, coinduct_thms, strong_coinduct_thm, strong_coinduct_thms,
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
  1382
              coinduct_attrs),
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
  1383
             (unfold_thmss, corec_thmss, coiter_attrs),
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
  1384
             (safe_unfold_thmss, safe_corec_thmss),
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
  1385
             (disc_unfold_thmss, disc_corec_thmss, disc_coiter_attrs),
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
  1386
             (disc_unfold_iff_thmss, disc_corec_iff_thmss, disc_coiter_iff_attrs),
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
  1387
             (sel_unfold_thmss, sel_corec_thmss, sel_coiter_attrs)) =
52171
blanchet
parents: 52170
diff changeset
  1388
          derive_coinduct_unfold_corec_thms_for_types pre_bnfs fp_folds fp_recs fp_induct
51811
1461426e2bf1 tuned function signatures
blanchet
parents: 51810
diff changeset
  1389
            fp_strong_induct dtor_ctors fp_fold_thms fp_rec_thms nesting_bnfs nested_bnfs fpTs Cs As
51840
b304fb6c5ef5 renamed records
blanchet
parents: 51839
diff changeset
  1390
            kss mss ns ctr_defss ctr_sugars unfolds corecs unfold_defs corec_defs lthy;
49212
ca59649170b0 more sugar on codatatypes
blanchet
parents: 49211
diff changeset
  1391
51830
blanchet
parents: 51829
diff changeset
  1392
        val coinduct_type_attr = Attrib.internal o K o Induct.coinduct_type;
49479
504f0a38f608 added "simp"s to coiter/corec theorems + export under "simps" name
blanchet
parents: 49478
diff changeset
  1393
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
  1394
        fun flat_coiter_thms coiters disc_coiters sel_coiters =
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
  1395
          coiters @ disc_coiters @ sel_coiters;
49479
504f0a38f608 added "simp"s to coiter/corec theorems + export under "simps" name
blanchet
parents: 49478
diff changeset
  1396
504f0a38f608 added "simp"s to coiter/corec theorems + export under "simps" name
blanchet
parents: 49478
diff changeset
  1397
        val simp_thmss =
51840
b304fb6c5ef5 renamed records
blanchet
parents: 51839
diff changeset
  1398
          mk_simp_thmss ctr_sugars
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
  1399
            (map3 flat_coiter_thms safe_unfold_thmss disc_unfold_thmss sel_unfold_thmss)
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
  1400
            (map3 flat_coiter_thms safe_corec_thmss disc_corec_thmss sel_corec_thmss)
51835
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1401
            mapsx rel_injects rel_distincts setss;
49479
504f0a38f608 added "simp"s to coiter/corec theorems + export under "simps" name
blanchet
parents: 49478
diff changeset
  1402
504f0a38f608 added "simp"s to coiter/corec theorems + export under "simps" name
blanchet
parents: 49478
diff changeset
  1403
        val anonymous_notes =
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
  1404
          [(flat safe_unfold_thmss @ flat safe_corec_thmss, simp_attrs)]
49479
504f0a38f608 added "simp"s to coiter/corec theorems + export under "simps" name
blanchet
parents: 49478
diff changeset
  1405
          |> map (fn (thms, attrs) => ((Binding.empty, attrs), [(thms, [])]));
49266
70ffce5b65a4 generate "sel_coiters" and friends
blanchet
parents: 49264
diff changeset
  1406
49342
8ea4bad49ed5 rough and ready induction
blanchet
parents: 49338
diff changeset
  1407
        val common_notes =
49591
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
  1408
          (if nn > 1 then
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
  1409
             [(coinductN, [coinduct_thm], coinduct_attrs),
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
  1410
              (strong_coinductN, [strong_coinduct_thm], coinduct_attrs)]
49591
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
  1411
           else
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
  1412
             [])
51780
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
  1413
          |> massage_simple_notes fp_common_name;
49342
8ea4bad49ed5 rough and ready induction
blanchet
parents: 49338
diff changeset
  1414
49212
ca59649170b0 more sugar on codatatypes
blanchet
parents: 49211
diff changeset
  1415
        val notes =
51780
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
  1416
          [(coinductN, map single coinduct_thms,
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
  1417
            fn T_name => coinduct_attrs @ [coinduct_type_attr T_name]),
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
  1418
           (corecN, corec_thmss, K coiter_attrs),
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
  1419
           (disc_corecN, disc_corec_thmss, K disc_coiter_attrs),
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
  1420
           (disc_corec_iffN, disc_corec_iff_thmss, K disc_coiter_iff_attrs),
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
  1421
           (disc_unfoldN, disc_unfold_thmss, K disc_coiter_attrs),
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
  1422
           (disc_unfold_iffN, disc_unfold_iff_thmss, K disc_coiter_iff_attrs),
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
  1423
           (sel_corecN, sel_corec_thmss, K sel_coiter_attrs),
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
  1424
           (sel_unfoldN, sel_unfold_thmss, K sel_coiter_attrs),
51780
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
  1425
           (simpsN, simp_thmss, K []),
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
  1426
           (strong_coinductN, map single strong_coinduct_thms, K coinduct_attrs),
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
  1427
           (unfoldN, unfold_thmss, K coiter_attrs)]
51780
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
  1428
          |> massage_multi_notes;
49212
ca59649170b0 more sugar on codatatypes
blanchet
parents: 49211
diff changeset
  1429
      in
51824
27d073b0876c register all (co)datatypes in local data
blanchet
parents: 51823
diff changeset
  1430
        lthy
27d073b0876c register all (co)datatypes in local data
blanchet
parents: 51823
diff changeset
  1431
        |> Local_Theory.notes (anonymous_notes @ common_notes @ notes) |> snd
51906
38dcb3a6dfcc added field to record
blanchet
parents: 51905
diff changeset
  1432
        |> register_fp_sugars false pre_bnfs fp_res ctr_defss ctr_sugars unfolds corecs coinduct_thm
51864
9761deff11bc store (co)induction rules in data structure
blanchet
parents: 51863
diff changeset
  1433
          strong_coinduct_thm unfold_thmss corec_thmss
49212
ca59649170b0 more sugar on codatatypes
blanchet
parents: 49211
diff changeset
  1434
      end;
ca59649170b0 more sugar on codatatypes
blanchet
parents: 49211
diff changeset
  1435
49204
0b735fb2602e generate iter/rec goals
blanchet
parents: 49203
diff changeset
  1436
    val lthy' = lthy
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1437
      |> fold_map define_ctrs_case_for_type (fp_bnfs ~~ fp_bs ~~ fpTs ~~ Cs ~~ ctors ~~ dtors ~~
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1438
        fp_folds ~~ fp_recs ~~ ctor_dtors ~~ dtor_ctors ~~ ctor_injects ~~ pre_map_defs ~~
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1439
        pre_set_defss ~~ pre_rel_defs ~~ fp_map_thms ~~ fp_set_thmss ~~ fp_rel_thms ~~ ns ~~ kss ~~
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1440
        mss ~~ ctr_bindingss ~~ ctr_mixfixess ~~ ctr_Tsss ~~ disc_bindingss ~~ sel_bindingsss ~~
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1441
        raw_sel_defaultsss)
51835
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1442
      |> wrap_types_etc
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
  1443
      |> (if lfp then derive_and_note_induct_fold_rec_thms_for_types
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
  1444
          else derive_and_note_coinduct_unfold_corec_thms_for_types);
49167
68623861e0f2 print timing information
blanchet
parents: 49165
diff changeset
  1445
68623861e0f2 print timing information
blanchet
parents: 49165
diff changeset
  1446
    val timer = time (timer ("Constructors, discriminators, selectors, etc., for the new " ^
51863
d77cf35c27ac tuning names
blanchet
parents: 51860
diff changeset
  1447
      datatype_word lfp));
49112
4de4635d8f93 started work on sugared "(co)data" commands
blanchet
parents:
diff changeset
  1448
  in
49308
6190b701e4f4 reorganized dependencies so that the sugar does not depend on GFP -- this will be essential for bootstrapping
blanchet
parents: 49302
diff changeset
  1449
    timer; lthy'
49112
4de4635d8f93 started work on sugared "(co)data" commands
blanchet
parents:
diff changeset
  1450
  end;
4de4635d8f93 started work on sugared "(co)data" commands
blanchet
parents:
diff changeset
  1451
51863
d77cf35c27ac tuning names
blanchet
parents: 51860
diff changeset
  1452
val co_datatypes = define_co_datatypes (K I) (K I) (K I);
49297
47fbf2e3e89c provide a programmatic interface for FP sugar
blanchet
parents: 49287
diff changeset
  1453
51863
d77cf35c27ac tuning names
blanchet
parents: 51860
diff changeset
  1454
val co_datatype_cmd =
d77cf35c27ac tuning names
blanchet
parents: 51860
diff changeset
  1455
  define_co_datatypes Typedecl.read_constraint Syntax.parse_typ Syntax.parse_term;
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
  1456
49112
4de4635d8f93 started work on sugared "(co)data" commands
blanchet
parents:
diff changeset
  1457
val parse_ctr_arg =
49329
82452dc63ed5 desambiguate grammar (e.g. for Nil's mixfix ("[]"))
blanchet
parents: 49311
diff changeset
  1458
  @{keyword "("} |-- parse_binding_colon -- Parse.typ --| @{keyword ")"} ||
49434
433dc7e028c8 separated registration of BNFs from bnf_def (BNFs are now stored only for bnf_def and (co)data commands)
traytel
parents: 49429
diff changeset
  1459
  (Parse.typ >> pair Binding.empty);
49112
4de4635d8f93 started work on sugared "(co)data" commands
blanchet
parents:
diff changeset
  1460
49286
dde4967c9233 added "defaults" option
blanchet
parents: 49280
diff changeset
  1461
val parse_defaults =
dde4967c9233 added "defaults" option
blanchet
parents: 49280
diff changeset
  1462
  @{keyword "("} |-- @{keyword "defaults"} |-- Scan.repeat parse_bound_term --| @{keyword ")"};
dde4967c9233 added "defaults" option
blanchet
parents: 49280
diff changeset
  1463
51758
55963309557b honor user-specified name for map function
blanchet
parents: 51757
diff changeset
  1464
val parse_type_arg_constrained =
51790
22517d04d20b more intuitive syntax for equality-style discriminators of nullary constructors
blanchet
parents: 51788
diff changeset
  1465
  Parse.type_ident -- Scan.option (@{keyword "::"} |-- Parse.!!! Parse.sort);
51758
55963309557b honor user-specified name for map function
blanchet
parents: 51757
diff changeset
  1466
51790
22517d04d20b more intuitive syntax for equality-style discriminators of nullary constructors
blanchet
parents: 51788
diff changeset
  1467
val parse_type_arg_named_constrained = parse_opt_binding_colon -- parse_type_arg_constrained;
51758
55963309557b honor user-specified name for map function
blanchet
parents: 51757
diff changeset
  1468
55963309557b honor user-specified name for map function
blanchet
parents: 51757
diff changeset
  1469
val parse_type_args_named_constrained =
55963309557b honor user-specified name for map function
blanchet
parents: 51757
diff changeset
  1470
  parse_type_arg_constrained >> (single o pair Binding.empty) ||
55963309557b honor user-specified name for map function
blanchet
parents: 51757
diff changeset
  1471
  @{keyword "("} |-- Parse.!!! (Parse.list1 parse_type_arg_named_constrained --| @{keyword ")"}) ||
51756
b0bae7bd236c parse set function name
blanchet
parents: 51746
diff changeset
  1472
  Scan.succeed [];
b0bae7bd236c parse set function name
blanchet
parents: 51746
diff changeset
  1473
51790
22517d04d20b more intuitive syntax for equality-style discriminators of nullary constructors
blanchet
parents: 51788
diff changeset
  1474
val parse_map_rel_binding = Parse.short_ident --| @{keyword ":"} -- parse_binding;
51767
bbcdd8519253 honor user-specified name for relator + generalize syntax
blanchet
parents: 51766
diff changeset
  1475
bbcdd8519253 honor user-specified name for relator + generalize syntax
blanchet
parents: 51766
diff changeset
  1476
val no_map_rel = (Binding.empty, Binding.empty);
bbcdd8519253 honor user-specified name for relator + generalize syntax
blanchet
parents: 51766
diff changeset
  1477
bbcdd8519253 honor user-specified name for relator + generalize syntax
blanchet
parents: 51766
diff changeset
  1478
(* "map" and "rel" are purposedly not registered as keywords, because they are short and nice names
51833
3be0a5c6dc9e comment tuning
blanchet
parents: 51832
diff changeset
  1479
   that we don't want them to be highlighted everywhere. *)
51767
bbcdd8519253 honor user-specified name for relator + generalize syntax
blanchet
parents: 51766
diff changeset
  1480
fun extract_map_rel ("map", b) = apfst (K b)
bbcdd8519253 honor user-specified name for relator + generalize syntax
blanchet
parents: 51766
diff changeset
  1481
  | extract_map_rel ("rel", b) = apsnd (K b)
bbcdd8519253 honor user-specified name for relator + generalize syntax
blanchet
parents: 51766
diff changeset
  1482
  | extract_map_rel (s, _) = error ("Expected \"map\" or \"rel\" instead of " ^ quote s);
49112
4de4635d8f93 started work on sugared "(co)data" commands
blanchet
parents:
diff changeset
  1483
51767
bbcdd8519253 honor user-specified name for relator + generalize syntax
blanchet
parents: 51766
diff changeset
  1484
val parse_map_rel_bindings =
bbcdd8519253 honor user-specified name for relator + generalize syntax
blanchet
parents: 51766
diff changeset
  1485
  @{keyword "("} |-- Scan.repeat parse_map_rel_binding --| @{keyword ")"}
bbcdd8519253 honor user-specified name for relator + generalize syntax
blanchet
parents: 51766
diff changeset
  1486
    >> (fn ps => fold extract_map_rel ps no_map_rel) ||
bbcdd8519253 honor user-specified name for relator + generalize syntax
blanchet
parents: 51766
diff changeset
  1487
  Scan.succeed no_map_rel;
bbcdd8519253 honor user-specified name for relator + generalize syntax
blanchet
parents: 51766
diff changeset
  1488
bbcdd8519253 honor user-specified name for relator + generalize syntax
blanchet
parents: 51766
diff changeset
  1489
val parse_ctr_spec =
51790
22517d04d20b more intuitive syntax for equality-style discriminators of nullary constructors
blanchet
parents: 51788
diff changeset
  1490
  parse_opt_binding_colon -- parse_binding -- Scan.repeat parse_ctr_arg --
51767
bbcdd8519253 honor user-specified name for relator + generalize syntax
blanchet
parents: 51766
diff changeset
  1491
  Scan.optional parse_defaults [] -- Parse.opt_mixfix;
bbcdd8519253 honor user-specified name for relator + generalize syntax
blanchet
parents: 51766
diff changeset
  1492
bbcdd8519253 honor user-specified name for relator + generalize syntax
blanchet
parents: 51766
diff changeset
  1493
val parse_spec =
51790
22517d04d20b more intuitive syntax for equality-style discriminators of nullary constructors
blanchet
parents: 51788
diff changeset
  1494
  parse_type_args_named_constrained -- parse_binding -- parse_map_rel_bindings --
51767
bbcdd8519253 honor user-specified name for relator + generalize syntax
blanchet
parents: 51766
diff changeset
  1495
  Parse.opt_mixfix -- (@{keyword "="} |-- Parse.enum1 "|" parse_ctr_spec);
bbcdd8519253 honor user-specified name for relator + generalize syntax
blanchet
parents: 51766
diff changeset
  1496
51863
d77cf35c27ac tuning names
blanchet
parents: 51860
diff changeset
  1497
val parse_co_datatype = parse_wrap_options -- Parse.and_list1 parse_spec;
49278
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
  1498
51863
d77cf35c27ac tuning names
blanchet
parents: 51860
diff changeset
  1499
fun parse_co_datatype_cmd lfp construct_fp = parse_co_datatype >> co_datatype_cmd lfp construct_fp;
49112
4de4635d8f93 started work on sugared "(co)data" commands
blanchet
parents:
diff changeset
  1500
4de4635d8f93 started work on sugared "(co)data" commands
blanchet
parents:
diff changeset
  1501
end;